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Finding the Third Proportional to 210,416 and 304,566

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Solution

The third proportional to 210,416 and 304,566 is: 440,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,416 : 304,566 = 304,566 : x
  2. Step 2: Convert to fraction form
    210,416/304,566 = 304,566/x
  3. Step 3: Cross multiply
    210,416x = 304,566 × 304,566
  4. Step 4: Simplify right side
    210,416x = 92,760,448,356
  5. Step 5: Solve for x
    x = 92,760,448,356/210,416
  6. Step 6: Final answer
    x = 440,843.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.