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Finding the Third Proportional to 116,416 and 249,439

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Solution

The third proportional to 116,416 and 249,439 is: 534,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,416 : 249,439 = 249,439 : x
  2. Step 2: Convert to fraction form
    116,416/249,439 = 249,439/x
  3. Step 3: Cross multiply
    116,416x = 249,439 × 249,439
  4. Step 4: Simplify right side
    116,416x = 62,219,814,721
  5. Step 5: Solve for x
    x = 62,219,814,721/116,416
  6. Step 6: Final answer
    x = 534,461.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.