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Finding the Third Proportional to 249,873 and 356,119.50

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Solution

The third proportional to 249,873 and 356,119.50 is: 507,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,873 : 356,119.50 = 356,119.50 : x
  2. Step 2: Convert to fraction form
    249,873/356,119.50 = 356,119.50/x
  3. Step 3: Cross multiply
    249,873x = 356,119.50 × 356,119.50
  4. Step 4: Simplify right side
    249,873x = 126,821,098,280.25
  5. Step 5: Solve for x
    x = 126,821,098,280.25/249,873
  6. Step 6: Final answer
    x = 507,542.22

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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.