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Finding the Third Proportional to 207,252 and 306,502

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Solution

The third proportional to 207,252 and 306,502 is: 453,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252 : 306,502 = 306,502 : x
  2. Step 2: Convert to fraction form
    207,252/306,502 = 306,502/x
  3. Step 3: Cross multiply
    207,252x = 306,502 × 306,502
  4. Step 4: Simplify right side
    207,252x = 93,943,476,004
  5. Step 5: Solve for x
    x = 93,943,476,004/207,252
  6. Step 6: Final answer
    x = 453,281.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.