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Finding the Third Proportional to 134,567.25 and 291,429.75

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Solution

The third proportional to 134,567.25 and 291,429.75 is: 631,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,567.25 : 291,429.75 = 291,429.75 : x
  2. Step 2: Convert to fraction form
    134,567.25/291,429.75 = 291,429.75/x
  3. Step 3: Cross multiply
    134,567.25x = 291,429.75 × 291,429.75
  4. Step 4: Simplify right side
    134,567.25x = 84,931,299,185.06
  5. Step 5: Solve for x
    x = 84,931,299,185.06/134,567.25
  6. Step 6: Final answer
    x = 631,143.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.