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Finding the Third Proportional to 150,851.25 and 314,217

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Solution

The third proportional to 150,851.25 and 314,217 is: 654,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,851.25 : 314,217 = 314,217 : x
  2. Step 2: Convert to fraction form
    150,851.25/314,217 = 314,217/x
  3. Step 3: Cross multiply
    150,851.25x = 314,217 × 314,217
  4. Step 4: Simplify right side
    150,851.25x = 98,732,323,089
  5. Step 5: Solve for x
    x = 98,732,323,089/150,851.25
  6. Step 6: Final answer
    x = 654,501.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.