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Finding the Third Proportional to 182,938.50 and 291,346.88

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Solution

The third proportional to 182,938.50 and 291,346.88 is: 463,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,938.50 : 291,346.88 = 291,346.88 : x
  2. Step 2: Convert to fraction form
    182,938.50/291,346.88 = 291,346.88/x
  3. Step 3: Cross multiply
    182,938.50x = 291,346.88 × 291,346.88
  4. Step 4: Simplify right side
    182,938.50x = 84,883,001,572.27
  5. Step 5: Solve for x
    x = 84,883,001,572.27/182,938.50
  6. Step 6: Final answer
    x = 463,997.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.