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Finding the Third Proportional to 136,329.75 and 291,613.50

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Solution

The third proportional to 136,329.75 and 291,613.50 is: 623,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,329.75 : 291,613.50 = 291,613.50 : x
  2. Step 2: Convert to fraction form
    136,329.75/291,613.50 = 291,613.50/x
  3. Step 3: Cross multiply
    136,329.75x = 291,613.50 × 291,613.50
  4. Step 4: Simplify right side
    136,329.75x = 85,038,433,382.25
  5. Step 5: Solve for x
    x = 85,038,433,382.25/136,329.75
  6. Step 6: Final answer
    x = 623,770.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.