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Finding the Third Proportional to 199,973.81 and 472,050.28

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Solution

The third proportional to 199,973.81 and 472,050.28 is: 1,114,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,973.81 : 472,050.28 = 472,050.28 : x
  2. Step 2: Convert to fraction form
    199,973.81/472,050.28 = 472,050.28/x
  3. Step 3: Cross multiply
    199,973.81x = 472,050.28 × 472,050.28
  4. Step 4: Simplify right side
    199,973.81x = 222,831,468,028.20
  5. Step 5: Solve for x
    x = 222,831,468,028.20/199,973.81
  6. Step 6: Final answer
    x = 1,114,303.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.