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Finding the Third Proportional to 249,903.75 and 356,158.13

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Solution

The third proportional to 249,903.75 and 356,158.13 is: 507,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,903.75 : 356,158.13 = 356,158.13 : x
  2. Step 2: Convert to fraction form
    249,903.75/356,158.13 = 356,158.13/x
  3. Step 3: Cross multiply
    249,903.75x = 356,158.13 × 356,158.13
  4. Step 4: Simplify right side
    249,903.75x = 126,848,610,003.52
  5. Step 5: Solve for x
    x = 126,848,610,003.52/249,903.75
  6. Step 6: Final answer
    x = 507,589.86

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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.