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Finding the Third Proportional to 169,381.13 and 229,927.13

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Solution

The third proportional to 169,381.13 and 229,927.13 is: 312,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,381.13 : 229,927.13 = 229,927.13 : x
  2. Step 2: Convert to fraction form
    169,381.13/229,927.13 = 229,927.13/x
  3. Step 3: Cross multiply
    169,381.13x = 229,927.13 × 229,927.13
  4. Step 4: Simplify right side
    169,381.13x = 52,866,482,810.77
  5. Step 5: Solve for x
    x = 52,866,482,810.77/169,381.13
  6. Step 6: Final answer
    x = 312,115.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.