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Finding the Third Proportional to 114,000 and 249,456

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Solution

The third proportional to 114,000 and 249,456 is: 545,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000 : 249,456 = 249,456 : x
  2. Step 2: Convert to fraction form
    114,000/249,456 = 249,456/x
  3. Step 3: Cross multiply
    114,000x = 249,456 × 249,456
  4. Step 4: Simplify right side
    114,000x = 62,228,295,936
  5. Step 5: Solve for x
    x = 62,228,295,936/114,000
  6. Step 6: Final answer
    x = 545,862.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.