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Finding the Third Proportional to 265,126 and 401,548

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Solution

The third proportional to 265,126 and 401,548 is: 608,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,126 : 401,548 = 401,548 : x
  2. Step 2: Convert to fraction form
    265,126/401,548 = 401,548/x
  3. Step 3: Cross multiply
    265,126x = 401,548 × 401,548
  4. Step 4: Simplify right side
    265,126x = 161,240,796,304
  5. Step 5: Solve for x
    x = 161,240,796,304/265,126
  6. Step 6: Final answer
    x = 608,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.