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Finding the Third Proportional to 225,981 and 349,903.13

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Solution

The third proportional to 225,981 and 349,903.13 is: 541,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,981 : 349,903.13 = 349,903.13 : x
  2. Step 2: Convert to fraction form
    225,981/349,903.13 = 349,903.13/x
  3. Step 3: Cross multiply
    225,981x = 349,903.13 × 349,903.13
  4. Step 4: Simplify right side
    225,981x = 122,432,196,884.77
  5. Step 5: Solve for x
    x = 122,432,196,884.77/225,981
  6. Step 6: Final answer
    x = 541,780.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.