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Finding the Third Proportional to 134,587.50 and 291,468

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Solution

The third proportional to 134,587.50 and 291,468 is: 631,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,587.50 : 291,468 = 291,468 : x
  2. Step 2: Convert to fraction form
    134,587.50/291,468 = 291,468/x
  3. Step 3: Cross multiply
    134,587.50x = 291,468 × 291,468
  4. Step 4: Simplify right side
    134,587.50x = 84,953,595,024
  5. Step 5: Solve for x
    x = 84,953,595,024/134,587.50
  6. Step 6: Final answer
    x = 631,214.60

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