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Finding the Third Proportional to 145,531 and 318,114

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Solution

The third proportional to 145,531 and 318,114 is: 695,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,531 : 318,114 = 318,114 : x
  2. Step 2: Convert to fraction form
    145,531/318,114 = 318,114/x
  3. Step 3: Cross multiply
    145,531x = 318,114 × 318,114
  4. Step 4: Simplify right side
    145,531x = 101,196,516,996
  5. Step 5: Solve for x
    x = 101,196,516,996/145,531
  6. Step 6: Final answer
    x = 695,360.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.