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Finding the Third Proportional to 249,446.25 and 384,010.88

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Solution

The third proportional to 249,446.25 and 384,010.88 is: 591,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,446.25 : 384,010.88 = 384,010.88 : x
  2. Step 2: Convert to fraction form
    249,446.25/384,010.88 = 384,010.88/x
  3. Step 3: Cross multiply
    249,446.25x = 384,010.88 × 384,010.88
  4. Step 4: Simplify right side
    249,446.25x = 147,464,352,118.27
  5. Step 5: Solve for x
    x = 147,464,352,118.27/249,446.25
  6. Step 6: Final answer
    x = 591,166.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.