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Finding the Third Proportional to 165,862 and 249,625

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Solution

The third proportional to 165,862 and 249,625 is: 375,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,862 : 249,625 = 249,625 : x
  2. Step 2: Convert to fraction form
    165,862/249,625 = 249,625/x
  3. Step 3: Cross multiply
    165,862x = 249,625 × 249,625
  4. Step 4: Simplify right side
    165,862x = 62,312,640,625
  5. Step 5: Solve for x
    x = 62,312,640,625/165,862
  6. Step 6: Final answer
    x = 375,689.67

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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.