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Finding the Third Proportional to 249,430.88 and 380,373.94

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Solution

The third proportional to 249,430.88 and 380,373.94 is: 580,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,430.88 : 380,373.94 = 380,373.94 : x
  2. Step 2: Convert to fraction form
    249,430.88/380,373.94 = 380,373.94/x
  3. Step 3: Cross multiply
    249,430.88x = 380,373.94 × 380,373.94
  4. Step 4: Simplify right side
    249,430.88x = 144,684,332,329.25
  5. Step 5: Solve for x
    x = 144,684,332,329.25/249,430.88
  6. Step 6: Final answer
    x = 580,057.83

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Why These Related Problems?

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