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Finding the Third Proportional to 153,078.61 and 241,357.85

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Solution

The third proportional to 153,078.61 and 241,357.85 is: 380,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,078.61 : 241,357.85 = 241,357.85 : x
  2. Step 2: Convert to fraction form
    153,078.61/241,357.85 = 241,357.85/x
  3. Step 3: Cross multiply
    153,078.61x = 241,357.85 × 241,357.85
  4. Step 4: Simplify right side
    153,078.61x = 58,253,612,510.87
  5. Step 5: Solve for x
    x = 58,253,612,510.87/153,078.61
  6. Step 6: Final answer
    x = 380,547.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.