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Finding the Third Proportional to 163,952 and 247,082

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Solution

The third proportional to 163,952 and 247,082 is: 372,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,952 : 247,082 = 247,082 : x
  2. Step 2: Convert to fraction form
    163,952/247,082 = 247,082/x
  3. Step 3: Cross multiply
    163,952x = 247,082 × 247,082
  4. Step 4: Simplify right side
    163,952x = 61,049,514,724
  5. Step 5: Solve for x
    x = 61,049,514,724/163,952
  6. Step 6: Final answer
    x = 372,362.12

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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.