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Finding the Third Proportional to 127,521 and 280,206

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Solution

The third proportional to 127,521 and 280,206 is: 615,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,521 : 280,206 = 280,206 : x
  2. Step 2: Convert to fraction form
    127,521/280,206 = 280,206/x
  3. Step 3: Cross multiply
    127,521x = 280,206 × 280,206
  4. Step 4: Simplify right side
    127,521x = 78,515,402,436
  5. Step 5: Solve for x
    x = 78,515,402,436/127,521
  6. Step 6: Final answer
    x = 615,705.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.