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Finding the Third Proportional to 165,420 and 358,842

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Solution

The third proportional to 165,420 and 358,842 is: 778,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,420 : 358,842 = 358,842 : x
  2. Step 2: Convert to fraction form
    165,420/358,842 = 358,842/x
  3. Step 3: Cross multiply
    165,420x = 358,842 × 358,842
  4. Step 4: Simplify right side
    165,420x = 128,767,580,964
  5. Step 5: Solve for x
    x = 128,767,580,964/165,420
  6. Step 6: Final answer
    x = 778,428.13

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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.