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Finding the Third Proportional to 176,526 and 382,536

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Solution

The third proportional to 176,526 and 382,536 is: 828,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,526 : 382,536 = 382,536 : x
  2. Step 2: Convert to fraction form
    176,526/382,536 = 382,536/x
  3. Step 3: Cross multiply
    176,526x = 382,536 × 382,536
  4. Step 4: Simplify right side
    176,526x = 146,333,791,296
  5. Step 5: Solve for x
    x = 146,333,791,296/176,526
  6. Step 6: Final answer
    x = 828,964.52

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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.