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Finding the Third Proportional to 153,487 and 314,581

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Solution

The third proportional to 153,487 and 314,581 is: 644,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,487 : 314,581 = 314,581 : x
  2. Step 2: Convert to fraction form
    153,487/314,581 = 314,581/x
  3. Step 3: Cross multiply
    153,487x = 314,581 × 314,581
  4. Step 4: Simplify right side
    153,487x = 98,961,205,561
  5. Step 5: Solve for x
    x = 98,961,205,561/153,487
  6. Step 6: Final answer
    x = 644,753.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.