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Finding the Third Proportional to 138,005 and 202,464

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Solution

The third proportional to 138,005 and 202,464 is: 297,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,005 : 202,464 = 202,464 : x
  2. Step 2: Convert to fraction form
    138,005/202,464 = 202,464/x
  3. Step 3: Cross multiply
    138,005x = 202,464 × 202,464
  4. Step 4: Simplify right side
    138,005x = 40,991,671,296
  5. Step 5: Solve for x
    x = 40,991,671,296/138,005
  6. Step 6: Final answer
    x = 297,030.33

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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.