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Finding the Third Proportional to 249,934.78 and 357,156.84

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Solution

The third proportional to 249,934.78 and 357,156.84 is: 510,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,934.78 : 357,156.84 = 357,156.84 : x
  2. Step 2: Convert to fraction form
    249,934.78/357,156.84 = 357,156.84/x
  3. Step 3: Cross multiply
    249,934.78x = 357,156.84 × 357,156.84
  4. Step 4: Simplify right side
    249,934.78x = 127,561,011,037.46
  5. Step 5: Solve for x
    x = 127,561,011,037.46/249,934.78
  6. Step 6: Final answer
    x = 510,377.19

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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.