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Finding the Third Proportional to 155,294 and 332,998

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Solution

The third proportional to 155,294 and 332,998 is: 714,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,294 : 332,998 = 332,998 : x
  2. Step 2: Convert to fraction form
    155,294/332,998 = 332,998/x
  3. Step 3: Cross multiply
    155,294x = 332,998 × 332,998
  4. Step 4: Simplify right side
    155,294x = 110,887,668,004
  5. Step 5: Solve for x
    x = 110,887,668,004/155,294
  6. Step 6: Final answer
    x = 714,049.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.