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Finding the Third Proportional to 175,084 and 287,648

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Solution

The third proportional to 175,084 and 287,648 is: 472,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,084 : 287,648 = 287,648 : x
  2. Step 2: Convert to fraction form
    175,084/287,648 = 287,648/x
  3. Step 3: Cross multiply
    175,084x = 287,648 × 287,648
  4. Step 4: Simplify right side
    175,084x = 82,741,371,904
  5. Step 5: Solve for x
    x = 82,741,371,904/175,084
  6. Step 6: Final answer
    x = 472,581.00

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.