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Finding the Third Proportional to 207,582.75 and 266,176.13

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Solution

The third proportional to 207,582.75 and 266,176.13 is: 341,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,582.75 : 266,176.13 = 266,176.13 : x
  2. Step 2: Convert to fraction form
    207,582.75/266,176.13 = 266,176.13/x
  3. Step 3: Cross multiply
    207,582.75x = 266,176.13 × 266,176.13
  4. Step 4: Simplify right side
    207,582.75x = 70,849,729,520.02
  5. Step 5: Solve for x
    x = 70,849,729,520.02/207,582.75
  6. Step 6: Final answer
    x = 341,308.37

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.