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Finding the Third Proportional to 174,772 and 372,428

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Solution

The third proportional to 174,772 and 372,428 is: 793,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,772 : 372,428 = 372,428 : x
  2. Step 2: Convert to fraction form
    174,772/372,428 = 372,428/x
  3. Step 3: Cross multiply
    174,772x = 372,428 × 372,428
  4. Step 4: Simplify right side
    174,772x = 138,702,615,184
  5. Step 5: Solve for x
    x = 138,702,615,184/174,772
  6. Step 6: Final answer
    x = 793,620.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.