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Finding the Third Proportional to 153,033.75 and 215,124.38

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Solution

The third proportional to 153,033.75 and 215,124.38 is: 302,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,033.75 : 215,124.38 = 215,124.38 : x
  2. Step 2: Convert to fraction form
    153,033.75/215,124.38 = 215,124.38/x
  3. Step 3: Cross multiply
    153,033.75x = 215,124.38 × 215,124.38
  4. Step 4: Simplify right side
    153,033.75x = 46,278,496,719.14
  5. Step 5: Solve for x
    x = 46,278,496,719.14/153,033.75
  6. Step 6: Final answer
    x = 302,407.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.