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Finding the Third Proportional to 183,921.75 and 249,638.25

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Solution

The third proportional to 183,921.75 and 249,638.25 is: 338,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,921.75 : 249,638.25 = 249,638.25 : x
  2. Step 2: Convert to fraction form
    183,921.75/249,638.25 = 249,638.25/x
  3. Step 3: Cross multiply
    183,921.75x = 249,638.25 × 249,638.25
  4. Step 4: Simplify right side
    183,921.75x = 62,319,255,863.06
  5. Step 5: Solve for x
    x = 62,319,255,863.06/183,921.75
  6. Step 6: Final answer
    x = 338,835.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.