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Finding the Third Proportional to 176,261 and 268,522

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Solution

The third proportional to 176,261 and 268,522 is: 409,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,261 : 268,522 = 268,522 : x
  2. Step 2: Convert to fraction form
    176,261/268,522 = 268,522/x
  3. Step 3: Cross multiply
    176,261x = 268,522 × 268,522
  4. Step 4: Simplify right side
    176,261x = 72,104,064,484
  5. Step 5: Solve for x
    x = 72,104,064,484/176,261
  6. Step 6: Final answer
    x = 409,075.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.