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Finding the Third Proportional to 143,482 and 292,804

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Solution

The third proportional to 143,482 and 292,804 is: 597,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,482 : 292,804 = 292,804 : x
  2. Step 2: Convert to fraction form
    143,482/292,804 = 292,804/x
  3. Step 3: Cross multiply
    143,482x = 292,804 × 292,804
  4. Step 4: Simplify right side
    143,482x = 85,734,182,416
  5. Step 5: Solve for x
    x = 85,734,182,416/143,482
  6. Step 6: Final answer
    x = 597,525.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.