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Finding the Third Proportional to 249,885.75 and 356,136.75

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Solution

The third proportional to 249,885.75 and 356,136.75 is: 507,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,885.75 : 356,136.75 = 356,136.75 : x
  2. Step 2: Convert to fraction form
    249,885.75/356,136.75 = 356,136.75/x
  3. Step 3: Cross multiply
    249,885.75x = 356,136.75 × 356,136.75
  4. Step 4: Simplify right side
    249,885.75x = 126,833,384,700.56
  5. Step 5: Solve for x
    x = 126,833,384,700.56/249,885.75
  6. Step 6: Final answer
    x = 507,565.50

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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.