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Finding the Third Proportional to 237,210 and 360,703

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Solution

The third proportional to 237,210 and 360,703 is: 548,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,210 : 360,703 = 360,703 : x
  2. Step 2: Convert to fraction form
    237,210/360,703 = 360,703/x
  3. Step 3: Cross multiply
    237,210x = 360,703 × 360,703
  4. Step 4: Simplify right side
    237,210x = 130,106,654,209
  5. Step 5: Solve for x
    x = 130,106,654,209/237,210
  6. Step 6: Final answer
    x = 548,487.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.