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Finding the Third Proportional to 115,114.50 and 249,543

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Solution

The third proportional to 115,114.50 and 249,543 is: 540,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,114.50 : 249,543 = 249,543 : x
  2. Step 2: Convert to fraction form
    115,114.50/249,543 = 249,543/x
  3. Step 3: Cross multiply
    115,114.50x = 249,543 × 249,543
  4. Step 4: Simplify right side
    115,114.50x = 62,271,708,849
  5. Step 5: Solve for x
    x = 62,271,708,849/115,114.50
  6. Step 6: Final answer
    x = 540,954.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.