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Finding the Third Proportional to 174,506 and 276,771

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Solution

The third proportional to 174,506 and 276,771 is: 438,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,506 : 276,771 = 276,771 : x
  2. Step 2: Convert to fraction form
    174,506/276,771 = 276,771/x
  3. Step 3: Cross multiply
    174,506x = 276,771 × 276,771
  4. Step 4: Simplify right side
    174,506x = 76,602,186,441
  5. Step 5: Solve for x
    x = 76,602,186,441/174,506
  6. Step 6: Final answer
    x = 438,965.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.