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Finding the Third Proportional to 145,746 and 221,643

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Solution

The third proportional to 145,746 and 221,643 is: 337,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,746 : 221,643 = 221,643 : x
  2. Step 2: Convert to fraction form
    145,746/221,643 = 221,643/x
  3. Step 3: Cross multiply
    145,746x = 221,643 × 221,643
  4. Step 4: Simplify right side
    145,746x = 49,125,619,449
  5. Step 5: Solve for x
    x = 49,125,619,449/145,746
  6. Step 6: Final answer
    x = 337,063.24

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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.