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Finding the Third Proportional to 207,609.75 and 310,329

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Solution

The third proportional to 207,609.75 and 310,329 is: 463,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,609.75 : 310,329 = 310,329 : x
  2. Step 2: Convert to fraction form
    207,609.75/310,329 = 310,329/x
  3. Step 3: Cross multiply
    207,609.75x = 310,329 × 310,329
  4. Step 4: Simplify right side
    207,609.75x = 96,304,088,241
  5. Step 5: Solve for x
    x = 96,304,088,241/207,609.75
  6. Step 6: Final answer
    x = 463,870.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.