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Finding the Third Proportional to 115,383.75 and 249,220.25

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Solution

The third proportional to 115,383.75 and 249,220.25 is: 538,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,383.75 : 249,220.25 = 249,220.25 : x
  2. Step 2: Convert to fraction form
    115,383.75/249,220.25 = 249,220.25/x
  3. Step 3: Cross multiply
    115,383.75x = 249,220.25 × 249,220.25
  4. Step 4: Simplify right side
    115,383.75x = 62,110,733,010.06
  5. Step 5: Solve for x
    x = 62,110,733,010.06/115,383.75
  6. Step 6: Final answer
    x = 538,297.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.