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Finding the Third Proportional to 165,420 and 358,848

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Solution

The third proportional to 165,420 and 358,848 is: 778,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,420 : 358,848 = 358,848 : x
  2. Step 2: Convert to fraction form
    165,420/358,848 = 358,848/x
  3. Step 3: Cross multiply
    165,420x = 358,848 × 358,848
  4. Step 4: Simplify right side
    165,420x = 128,771,887,104
  5. Step 5: Solve for x
    x = 128,771,887,104/165,420
  6. Step 6: Final answer
    x = 778,454.16

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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.