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Finding the Third Proportional to 155,988 and 319,370

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Solution

The third proportional to 155,988 and 319,370 is: 653,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,988 : 319,370 = 319,370 : x
  2. Step 2: Convert to fraction form
    155,988/319,370 = 319,370/x
  3. Step 3: Cross multiply
    155,988x = 319,370 × 319,370
  4. Step 4: Simplify right side
    155,988x = 101,997,196,900
  5. Step 5: Solve for x
    x = 101,997,196,900/155,988
  6. Step 6: Final answer
    x = 653,878.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.