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Finding the Third Proportional to 175,335 and 341,919

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Solution

The third proportional to 175,335 and 341,919 is: 666,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,335 : 341,919 = 341,919 : x
  2. Step 2: Convert to fraction form
    175,335/341,919 = 341,919/x
  3. Step 3: Cross multiply
    175,335x = 341,919 × 341,919
  4. Step 4: Simplify right side
    175,335x = 116,908,602,561
  5. Step 5: Solve for x
    x = 116,908,602,561/175,335
  6. Step 6: Final answer
    x = 666,772.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.