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Finding the Third Proportional to 147,754 and 221,574

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Solution

The third proportional to 147,754 and 221,574 is: 332,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,754 : 221,574 = 221,574 : x
  2. Step 2: Convert to fraction form
    147,754/221,574 = 221,574/x
  3. Step 3: Cross multiply
    147,754x = 221,574 × 221,574
  4. Step 4: Simplify right side
    147,754x = 49,095,037,476
  5. Step 5: Solve for x
    x = 49,095,037,476/147,754
  6. Step 6: Final answer
    x = 332,275.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.