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Finding the Third Proportional to 182,013.75 and 266,095.13

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Solution

The third proportional to 182,013.75 and 266,095.13 is: 389,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,013.75 : 266,095.13 = 266,095.13 : x
  2. Step 2: Convert to fraction form
    182,013.75/266,095.13 = 266,095.13/x
  3. Step 3: Cross multiply
    182,013.75x = 266,095.13 × 266,095.13
  4. Step 4: Simplify right side
    182,013.75x = 70,806,615,548.77
  5. Step 5: Solve for x
    x = 70,806,615,548.77/182,013.75
  6. Step 6: Final answer
    x = 389,017.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.