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Finding the Third Proportional to 162,115.17 and 238,975.31

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Solution

The third proportional to 162,115.17 and 238,975.31 is: 352,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,115.17 : 238,975.31 = 238,975.31 : x
  2. Step 2: Convert to fraction form
    162,115.17/238,975.31 = 238,975.31/x
  3. Step 3: Cross multiply
    162,115.17x = 238,975.31 × 238,975.31
  4. Step 4: Simplify right side
    162,115.17x = 57,109,199,984.47
  5. Step 5: Solve for x
    x = 57,109,199,984.47/162,115.17
  6. Step 6: Final answer
    x = 352,275.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.