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Finding the Third Proportional to 114,759 and 249,518.25

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Solution

The third proportional to 114,759 and 249,518.25 is: 542,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,759 : 249,518.25 = 249,518.25 : x
  2. Step 2: Convert to fraction form
    114,759/249,518.25 = 249,518.25/x
  3. Step 3: Cross multiply
    114,759x = 249,518.25 × 249,518.25
  4. Step 4: Simplify right side
    114,759x = 62,259,357,083.06
  5. Step 5: Solve for x
    x = 62,259,357,083.06/114,759
  6. Step 6: Final answer
    x = 542,522.65

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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.