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Finding the Third Proportional to 82,098.56 and 170,348.06

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Solution

The third proportional to 82,098.56 and 170,348.06 is: 353,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098.56 : 170,348.06 = 170,348.06 : x
  2. Step 2: Convert to fraction form
    82,098.56/170,348.06 = 170,348.06/x
  3. Step 3: Cross multiply
    82,098.56x = 170,348.06 × 170,348.06
  4. Step 4: Simplify right side
    82,098.56x = 29,018,462,397.50
  5. Step 5: Solve for x
    x = 29,018,462,397.50/82,098.56
  6. Step 6: Final answer
    x = 353,458.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.