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Finding the Third Proportional to 238,290 and 370,503

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Solution

The third proportional to 238,290 and 370,503 is: 576,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,290 : 370,503 = 370,503 : x
  2. Step 2: Convert to fraction form
    238,290/370,503 = 370,503/x
  3. Step 3: Cross multiply
    238,290x = 370,503 × 370,503
  4. Step 4: Simplify right side
    238,290x = 137,272,473,009
  5. Step 5: Solve for x
    x = 137,272,473,009/238,290
  6. Step 6: Final answer
    x = 576,073.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.