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Finding the Third Proportional to 205,216 and 310,548

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Solution

The third proportional to 205,216 and 310,548 is: 469,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,216 : 310,548 = 310,548 : x
  2. Step 2: Convert to fraction form
    205,216/310,548 = 310,548/x
  3. Step 3: Cross multiply
    205,216x = 310,548 × 310,548
  4. Step 4: Simplify right side
    205,216x = 96,440,060,304
  5. Step 5: Solve for x
    x = 96,440,060,304/205,216
  6. Step 6: Final answer
    x = 469,944.16

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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.