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Finding the Third Proportional to 181,700 and 391,024

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Solution

The third proportional to 181,700 and 391,024 is: 841,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,700 : 391,024 = 391,024 : x
  2. Step 2: Convert to fraction form
    181,700/391,024 = 391,024/x
  3. Step 3: Cross multiply
    181,700x = 391,024 × 391,024
  4. Step 4: Simplify right side
    181,700x = 152,899,768,576
  5. Step 5: Solve for x
    x = 152,899,768,576/181,700
  6. Step 6: Final answer
    x = 841,495.70

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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.