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Finding the Third Proportional to 145,710 and 231,693

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Solution

The third proportional to 145,710 and 231,693 is: 368,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,710 : 231,693 = 231,693 : x
  2. Step 2: Convert to fraction form
    145,710/231,693 = 231,693/x
  3. Step 3: Cross multiply
    145,710x = 231,693 × 231,693
  4. Step 4: Simplify right side
    145,710x = 53,681,646,249
  5. Step 5: Solve for x
    x = 53,681,646,249/145,710
  6. Step 6: Final answer
    x = 368,414.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.