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Finding the Third Proportional to 261,248 and 392,224

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Solution

The third proportional to 261,248 and 392,224 is: 588,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,248 : 392,224 = 392,224 : x
  2. Step 2: Convert to fraction form
    261,248/392,224 = 392,224/x
  3. Step 3: Cross multiply
    261,248x = 392,224 × 392,224
  4. Step 4: Simplify right side
    261,248x = 153,839,666,176
  5. Step 5: Solve for x
    x = 153,839,666,176/261,248
  6. Step 6: Final answer
    x = 588,864.47

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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.