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Finding the Third Proportional to 77,948 and 168,352

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Solution

The third proportional to 77,948 and 168,352 is: 363,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,948 : 168,352 = 168,352 : x
  2. Step 2: Convert to fraction form
    77,948/168,352 = 168,352/x
  3. Step 3: Cross multiply
    77,948x = 168,352 × 168,352
  4. Step 4: Simplify right side
    77,948x = 28,342,395,904
  5. Step 5: Solve for x
    x = 28,342,395,904/77,948
  6. Step 6: Final answer
    x = 363,606.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.