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Finding the Third Proportional to 249,585.75 and 353,164.50

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Solution

The third proportional to 249,585.75 and 353,164.50 is: 499,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,585.75 : 353,164.50 = 353,164.50 : x
  2. Step 2: Convert to fraction form
    249,585.75/353,164.50 = 353,164.50/x
  3. Step 3: Cross multiply
    249,585.75x = 353,164.50 × 353,164.50
  4. Step 4: Simplify right side
    249,585.75x = 124,725,164,060.25
  5. Step 5: Solve for x
    x = 124,725,164,060.25/249,585.75
  6. Step 6: Final answer
    x = 499,728.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.