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Finding the Third Proportional to 164,715 and 359,637

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Solution

The third proportional to 164,715 and 359,637 is: 785,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,715 : 359,637 = 359,637 : x
  2. Step 2: Convert to fraction form
    164,715/359,637 = 359,637/x
  3. Step 3: Cross multiply
    164,715x = 359,637 × 359,637
  4. Step 4: Simplify right side
    164,715x = 129,338,771,769
  5. Step 5: Solve for x
    x = 129,338,771,769/164,715
  6. Step 6: Final answer
    x = 785,227.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.