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Finding the Third Proportional to 77,946 and 168,348

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Solution

The third proportional to 77,946 and 168,348 is: 363,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946 : 168,348 = 168,348 : x
  2. Step 2: Convert to fraction form
    77,946/168,348 = 168,348/x
  3. Step 3: Cross multiply
    77,946x = 168,348 × 168,348
  4. Step 4: Simplify right side
    77,946x = 28,341,049,104
  5. Step 5: Solve for x
    x = 28,341,049,104/77,946
  6. Step 6: Final answer
    x = 363,598.51

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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.