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Finding the Third Proportional to 195,762 and 297,746

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Solution

The third proportional to 195,762 and 297,746 is: 452,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,762 : 297,746 = 297,746 : x
  2. Step 2: Convert to fraction form
    195,762/297,746 = 297,746/x
  3. Step 3: Cross multiply
    195,762x = 297,746 × 297,746
  4. Step 4: Simplify right side
    195,762x = 88,652,680,516
  5. Step 5: Solve for x
    x = 88,652,680,516/195,762
  6. Step 6: Final answer
    x = 452,859.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.