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Finding the Third Proportional to 121,390 and 266,870

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Solution

The third proportional to 121,390 and 266,870 is: 586,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,390 : 266,870 = 266,870 : x
  2. Step 2: Convert to fraction form
    121,390/266,870 = 266,870/x
  3. Step 3: Cross multiply
    121,390x = 266,870 × 266,870
  4. Step 4: Simplify right side
    121,390x = 71,219,596,900
  5. Step 5: Solve for x
    x = 71,219,596,900/121,390
  6. Step 6: Final answer
    x = 586,700.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.