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Finding the Third Proportional to 175,196 and 383,984

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Solution

The third proportional to 175,196 and 383,984 is: 841,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,196 : 383,984 = 383,984 : x
  2. Step 2: Convert to fraction form
    175,196/383,984 = 383,984/x
  3. Step 3: Cross multiply
    175,196x = 383,984 × 383,984
  4. Step 4: Simplify right side
    175,196x = 147,443,712,256
  5. Step 5: Solve for x
    x = 147,443,712,256/175,196
  6. Step 6: Final answer
    x = 841,592.91

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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.