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Finding the Third Proportional to 127,746 and 277,596

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Solution

The third proportional to 127,746 and 277,596 is: 603,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,746 : 277,596 = 277,596 : x
  2. Step 2: Convert to fraction form
    127,746/277,596 = 277,596/x
  3. Step 3: Cross multiply
    127,746x = 277,596 × 277,596
  4. Step 4: Simplify right side
    127,746x = 77,059,539,216
  5. Step 5: Solve for x
    x = 77,059,539,216/127,746
  6. Step 6: Final answer
    x = 603,224.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.