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Finding the Third Proportional to 249,381.12 and 386,937.16

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Solution

The third proportional to 249,381.12 and 386,937.16 is: 600,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,381.12 : 386,937.16 = 386,937.16 : x
  2. Step 2: Convert to fraction form
    249,381.12/386,937.16 = 386,937.16/x
  3. Step 3: Cross multiply
    249,381.12x = 386,937.16 × 386,937.16
  4. Step 4: Simplify right side
    249,381.12x = 149,720,364,398.31
  5. Step 5: Solve for x
    x = 149,720,364,398.31/249,381.12
  6. Step 6: Final answer
    x = 600,367.67

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