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Finding the Third Proportional to 207,234 and 304,053

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Solution

The third proportional to 207,234 and 304,053 is: 446,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234 : 304,053 = 304,053 : x
  2. Step 2: Convert to fraction form
    207,234/304,053 = 304,053/x
  3. Step 3: Cross multiply
    207,234x = 304,053 × 304,053
  4. Step 4: Simplify right side
    207,234x = 92,448,226,809
  5. Step 5: Solve for x
    x = 92,448,226,809/207,234
  6. Step 6: Final answer
    x = 446,105.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.