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Finding the Third Proportional to 176,504 and 382,492

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Solution

The third proportional to 176,504 and 382,492 is: 828,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,504 : 382,492 = 382,492 : x
  2. Step 2: Convert to fraction form
    176,504/382,492 = 382,492/x
  3. Step 3: Cross multiply
    176,504x = 382,492 × 382,492
  4. Step 4: Simplify right side
    176,504x = 146,300,130,064
  5. Step 5: Solve for x
    x = 146,300,130,064/176,504
  6. Step 6: Final answer
    x = 828,877.14

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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.