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Finding the Third Proportional to 74,259.04 and 160,356.51

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Solution

The third proportional to 74,259.04 and 160,356.51 is: 346,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,259.04 : 160,356.51 = 160,356.51 : x
  2. Step 2: Convert to fraction form
    74,259.04/160,356.51 = 160,356.51/x
  3. Step 3: Cross multiply
    74,259.04x = 160,356.51 × 160,356.51
  4. Step 4: Simplify right side
    74,259.04x = 25,714,209,284.62
  5. Step 5: Solve for x
    x = 25,714,209,284.62/74,259.04
  6. Step 6: Final answer
    x = 346,277.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.