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Finding the Third Proportional to 164,466 and 360,341

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Solution

The third proportional to 164,466 and 360,341 is: 789,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,466 : 360,341 = 360,341 : x
  2. Step 2: Convert to fraction form
    164,466/360,341 = 360,341/x
  3. Step 3: Cross multiply
    164,466x = 360,341 × 360,341
  4. Step 4: Simplify right side
    164,466x = 129,845,636,281
  5. Step 5: Solve for x
    x = 129,845,636,281/164,466
  6. Step 6: Final answer
    x = 789,498.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.