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Finding the Third Proportional to 188,475 and 291,459

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Solution

The third proportional to 188,475 and 291,459 is: 450,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,475 : 291,459 = 291,459 : x
  2. Step 2: Convert to fraction form
    188,475/291,459 = 291,459/x
  3. Step 3: Cross multiply
    188,475x = 291,459 × 291,459
  4. Step 4: Simplify right side
    188,475x = 84,948,348,681
  5. Step 5: Solve for x
    x = 84,948,348,681/188,475
  6. Step 6: Final answer
    x = 450,714.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.