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Finding the Third Proportional to 83,407.50 and 183,417

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Solution

The third proportional to 83,407.50 and 183,417 is: 403,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407.50 : 183,417 = 183,417 : x
  2. Step 2: Convert to fraction form
    83,407.50/183,417 = 183,417/x
  3. Step 3: Cross multiply
    83,407.50x = 183,417 × 183,417
  4. Step 4: Simplify right side
    83,407.50x = 33,641,795,889
  5. Step 5: Solve for x
    x = 33,641,795,889/83,407.50
  6. Step 6: Final answer
    x = 403,342.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.