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Finding the Third Proportional to 161,842.88 and 245,013.38

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Solution

The third proportional to 161,842.88 and 245,013.38 is: 370,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,842.88 : 245,013.38 = 245,013.38 : x
  2. Step 2: Convert to fraction form
    161,842.88/245,013.38 = 245,013.38/x
  3. Step 3: Cross multiply
    161,842.88x = 245,013.38 × 245,013.38
  4. Step 4: Simplify right side
    161,842.88x = 60,031,553,928.89
  5. Step 5: Solve for x
    x = 60,031,553,928.89/161,842.88
  6. Step 6: Final answer
    x = 370,924.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.