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Finding the Third Proportional to 114,489 and 249,341

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Solution

The third proportional to 114,489 and 249,341 is: 543,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,489 : 249,341 = 249,341 : x
  2. Step 2: Convert to fraction form
    114,489/249,341 = 249,341/x
  3. Step 3: Cross multiply
    114,489x = 249,341 × 249,341
  4. Step 4: Simplify right side
    114,489x = 62,170,934,281
  5. Step 5: Solve for x
    x = 62,170,934,281/114,489
  6. Step 6: Final answer
    x = 543,029.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.