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Finding the Third Proportional to 115,164.75 and 249,193.50

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Solution

The third proportional to 115,164.75 and 249,193.50 is: 539,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,164.75 : 249,193.50 = 249,193.50 : x
  2. Step 2: Convert to fraction form
    115,164.75/249,193.50 = 249,193.50/x
  3. Step 3: Cross multiply
    115,164.75x = 249,193.50 × 249,193.50
  4. Step 4: Simplify right side
    115,164.75x = 62,097,400,442.25
  5. Step 5: Solve for x
    x = 62,097,400,442.25/115,164.75
  6. Step 6: Final answer
    x = 539,204.93

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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.