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Finding the Third Proportional to 115,482 and 253,032

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Solution

The third proportional to 115,482 and 253,032 is: 554,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,482 : 253,032 = 253,032 : x
  2. Step 2: Convert to fraction form
    115,482/253,032 = 253,032/x
  3. Step 3: Cross multiply
    115,482x = 253,032 × 253,032
  4. Step 4: Simplify right side
    115,482x = 64,025,193,024
  5. Step 5: Solve for x
    x = 64,025,193,024/115,482
  6. Step 6: Final answer
    x = 554,417.08

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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.