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Finding the Third Proportional to 249,384.38 and 386,942.06

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Solution

The third proportional to 249,384.38 and 386,942.06 is: 600,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,384.38 : 386,942.06 = 386,942.06 : x
  2. Step 2: Convert to fraction form
    249,384.38/386,942.06 = 386,942.06/x
  3. Step 3: Cross multiply
    249,384.38x = 386,942.06 × 386,942.06
  4. Step 4: Simplify right side
    249,384.38x = 149,724,159,731.75
  5. Step 5: Solve for x
    x = 149,724,159,731.75/249,384.38
  6. Step 6: Final answer
    x = 600,375.06

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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.