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Finding the Third Proportional to 165,856.50 and 249,979.50

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Solution

The third proportional to 165,856.50 and 249,979.50 is: 376,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,856.50 : 249,979.50 = 249,979.50 : x
  2. Step 2: Convert to fraction form
    165,856.50/249,979.50 = 249,979.50/x
  3. Step 3: Cross multiply
    165,856.50x = 249,979.50 × 249,979.50
  4. Step 4: Simplify right side
    165,856.50x = 62,489,750,420.25
  5. Step 5: Solve for x
    x = 62,489,750,420.25/165,856.50
  6. Step 6: Final answer
    x = 376,769.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.