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Finding the Third Proportional to 239,751 and 526,158

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Solution

The third proportional to 239,751 and 526,158 is: 1,154,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,751 : 526,158 = 526,158 : x
  2. Step 2: Convert to fraction form
    239,751/526,158 = 526,158/x
  3. Step 3: Cross multiply
    239,751x = 526,158 × 526,158
  4. Step 4: Simplify right side
    239,751x = 276,842,240,964
  5. Step 5: Solve for x
    x = 276,842,240,964/239,751
  6. Step 6: Final answer
    x = 1,154,707.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.