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Finding the Third Proportional to 175,479.75 and 282,598.88

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Solution

The third proportional to 175,479.75 and 282,598.88 is: 455,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,479.75 : 282,598.88 = 282,598.88 : x
  2. Step 2: Convert to fraction form
    175,479.75/282,598.88 = 282,598.88/x
  3. Step 3: Cross multiply
    175,479.75x = 282,598.88 × 282,598.88
  4. Step 4: Simplify right side
    175,479.75x = 79,862,124,151.27
  5. Step 5: Solve for x
    x = 79,862,124,151.27/175,479.75
  6. Step 6: Final answer
    x = 455,107.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.