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Finding the Third Proportional to 125,311 and 295,712

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Solution

The third proportional to 125,311 and 295,712 is: 697,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,311 : 295,712 = 295,712 : x
  2. Step 2: Convert to fraction form
    125,311/295,712 = 295,712/x
  3. Step 3: Cross multiply
    125,311x = 295,712 × 295,712
  4. Step 4: Simplify right side
    125,311x = 87,445,586,944
  5. Step 5: Solve for x
    x = 87,445,586,944/125,311
  6. Step 6: Final answer
    x = 697,828.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.