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Finding the Third Proportional to 249,952.50 and 357,180.75

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Solution

The third proportional to 249,952.50 and 357,180.75 is: 510,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,952.50 : 357,180.75 = 357,180.75 : x
  2. Step 2: Convert to fraction form
    249,952.50/357,180.75 = 357,180.75/x
  3. Step 3: Cross multiply
    249,952.50x = 357,180.75 × 357,180.75
  4. Step 4: Simplify right side
    249,952.50x = 127,578,088,170.56
  5. Step 5: Solve for x
    x = 127,578,088,170.56/249,952.50
  6. Step 6: Final answer
    x = 510,409.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.