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Finding the Third Proportional to 181,688 and 391,000

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Solution

The third proportional to 181,688 and 391,000 is: 841,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,688 : 391,000 = 391,000 : x
  2. Step 2: Convert to fraction form
    181,688/391,000 = 391,000/x
  3. Step 3: Cross multiply
    181,688x = 391,000 × 391,000
  4. Step 4: Simplify right side
    181,688x = 152,881,000,000
  5. Step 5: Solve for x
    x = 152,881,000,000/181,688
  6. Step 6: Final answer
    x = 841,447.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.