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Finding the Third Proportional to 165,414.38 and 358,828.88

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Solution

The third proportional to 165,414.38 and 358,828.88 is: 778,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,414.38 : 358,828.88 = 358,828.88 : x
  2. Step 2: Convert to fraction form
    165,414.38/358,828.88 = 358,828.88/x
  3. Step 3: Cross multiply
    165,414.38x = 358,828.88 × 358,828.88
  4. Step 4: Simplify right side
    165,414.38x = 128,758,161,533.77
  5. Step 5: Solve for x
    x = 128,758,161,533.77/165,414.38
  6. Step 6: Final answer
    x = 778,397.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.