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Finding the Third Proportional to 164,612 and 353,776

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Solution

The third proportional to 164,612 and 353,776 is: 760,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,612 : 353,776 = 353,776 : x
  2. Step 2: Convert to fraction form
    164,612/353,776 = 353,776/x
  3. Step 3: Cross multiply
    164,612x = 353,776 × 353,776
  4. Step 4: Simplify right side
    164,612x = 125,157,458,176
  5. Step 5: Solve for x
    x = 125,157,458,176/164,612
  6. Step 6: Final answer
    x = 760,317.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.