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Finding the Third Proportional to 181,062 and 266,043

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Solution

The third proportional to 181,062 and 266,043 is: 390,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,062 : 266,043 = 266,043 : x
  2. Step 2: Convert to fraction form
    181,062/266,043 = 266,043/x
  3. Step 3: Cross multiply
    181,062x = 266,043 × 266,043
  4. Step 4: Simplify right side
    181,062x = 70,778,877,849
  5. Step 5: Solve for x
    x = 70,778,877,849/181,062
  6. Step 6: Final answer
    x = 390,909.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.