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Finding the Third Proportional to 205,548.10 and 316,346.13

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Solution

The third proportional to 205,548.10 and 316,346.13 is: 486,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,548.10 : 316,346.13 = 316,346.13 : x
  2. Step 2: Convert to fraction form
    205,548.10/316,346.13 = 316,346.13/x
  3. Step 3: Cross multiply
    205,548.10x = 316,346.13 × 316,346.13
  4. Step 4: Simplify right side
    205,548.10x = 100,074,875,745.42
  5. Step 5: Solve for x
    x = 100,074,875,745.42/205,548.10
  6. Step 6: Final answer
    x = 486,868.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.