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Finding the Third Proportional to 165,050 and 249,154

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Solution

The third proportional to 165,050 and 249,154 is: 376,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,050 : 249,154 = 249,154 : x
  2. Step 2: Convert to fraction form
    165,050/249,154 = 249,154/x
  3. Step 3: Cross multiply
    165,050x = 249,154 × 249,154
  4. Step 4: Simplify right side
    165,050x = 62,077,715,716
  5. Step 5: Solve for x
    x = 62,077,715,716/165,050
  6. Step 6: Final answer
    x = 376,114.61

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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.