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Finding the Third Proportional to 115,806 and 253,482

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Solution

The third proportional to 115,806 and 253,482 is: 554,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806 : 253,482 = 253,482 : x
  2. Step 2: Convert to fraction form
    115,806/253,482 = 253,482/x
  3. Step 3: Cross multiply
    115,806x = 253,482 × 253,482
  4. Step 4: Simplify right side
    115,806x = 64,253,124,324
  5. Step 5: Solve for x
    x = 64,253,124,324/115,806
  6. Step 6: Final answer
    x = 554,834.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.