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Finding the Third Proportional to 109,398 and 253,417.50

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Solution

The third proportional to 109,398 and 253,417.50 is: 587,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,398 : 253,417.50 = 253,417.50 : x
  2. Step 2: Convert to fraction form
    109,398/253,417.50 = 253,417.50/x
  3. Step 3: Cross multiply
    109,398x = 253,417.50 × 253,417.50
  4. Step 4: Simplify right side
    109,398x = 64,220,429,306.25
  5. Step 5: Solve for x
    x = 64,220,429,306.25/109,398
  6. Step 6: Final answer
    x = 587,034.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.