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Finding the Third Proportional to 121,628.25 and 249,260.63

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Solution

The third proportional to 121,628.25 and 249,260.63 is: 510,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,628.25 : 249,260.63 = 249,260.63 : x
  2. Step 2: Convert to fraction form
    121,628.25/249,260.63 = 249,260.63/x
  3. Step 3: Cross multiply
    121,628.25x = 249,260.63 × 249,260.63
  4. Step 4: Simplify right side
    121,628.25x = 62,130,859,175.39
  5. Step 5: Solve for x
    x = 62,130,859,175.39/121,628.25
  6. Step 6: Final answer
    x = 510,825.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.