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Finding the Third Proportional to 174,618 and 377,058

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Solution

The third proportional to 174,618 and 377,058 is: 814,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,618 : 377,058 = 377,058 : x
  2. Step 2: Convert to fraction form
    174,618/377,058 = 377,058/x
  3. Step 3: Cross multiply
    174,618x = 377,058 × 377,058
  4. Step 4: Simplify right side
    174,618x = 142,172,735,364
  5. Step 5: Solve for x
    x = 142,172,735,364/174,618
  6. Step 6: Final answer
    x = 814,192.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.