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Finding the Third Proportional to 243,650 and 360,676

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Solution

The third proportional to 243,650 and 360,676 is: 533,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,650 : 360,676 = 360,676 : x
  2. Step 2: Convert to fraction form
    243,650/360,676 = 360,676/x
  3. Step 3: Cross multiply
    243,650x = 360,676 × 360,676
  4. Step 4: Simplify right side
    243,650x = 130,087,176,976
  5. Step 5: Solve for x
    x = 130,087,176,976/243,650
  6. Step 6: Final answer
    x = 533,910.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.