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Finding the Third Proportional to 165,054 and 249,160

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Solution

The third proportional to 165,054 and 249,160 is: 376,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,054 : 249,160 = 249,160 : x
  2. Step 2: Convert to fraction form
    165,054/249,160 = 249,160/x
  3. Step 3: Cross multiply
    165,054x = 249,160 × 249,160
  4. Step 4: Simplify right side
    165,054x = 62,080,705,600
  5. Step 5: Solve for x
    x = 62,080,705,600/165,054
  6. Step 6: Final answer
    x = 376,123.61

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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.