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Finding the Third Proportional to 136,191.38 and 316,482.19

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Solution

The third proportional to 136,191.38 and 316,482.19 is: 735,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,191.38 : 316,482.19 = 316,482.19 : x
  2. Step 2: Convert to fraction form
    136,191.38/316,482.19 = 316,482.19/x
  3. Step 3: Cross multiply
    136,191.38x = 316,482.19 × 316,482.19
  4. Step 4: Simplify right side
    136,191.38x = 100,160,975,004.79
  5. Step 5: Solve for x
    x = 100,160,975,004.79/136,191.38
  6. Step 6: Final answer
    x = 735,442.86

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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.