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Finding the Third Proportional to 165,702.50 and 253,368.50

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Solution

The third proportional to 165,702.50 and 253,368.50 is: 387,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,702.50 : 253,368.50 = 253,368.50 : x
  2. Step 2: Convert to fraction form
    165,702.50/253,368.50 = 253,368.50/x
  3. Step 3: Cross multiply
    165,702.50x = 253,368.50 × 253,368.50
  4. Step 4: Simplify right side
    165,702.50x = 64,195,596,792.25
  5. Step 5: Solve for x
    x = 64,195,596,792.25/165,702.50
  6. Step 6: Final answer
    x = 387,414.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.