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Finding the Third Proportional to 165,413 and 358,832

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Solution

The third proportional to 165,413 and 358,832 is: 778,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,413 : 358,832 = 358,832 : x
  2. Step 2: Convert to fraction form
    165,413/358,832 = 358,832/x
  3. Step 3: Cross multiply
    165,413x = 358,832 × 358,832
  4. Step 4: Simplify right side
    165,413x = 128,760,404,224
  5. Step 5: Solve for x
    x = 128,760,404,224/165,413
  6. Step 6: Final answer
    x = 778,417.68

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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.