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Finding the Third Proportional to 147,594 and 319,650

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Solution

The third proportional to 147,594 and 319,650 is: 692,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,594 : 319,650 = 319,650 : x
  2. Step 2: Convert to fraction form
    147,594/319,650 = 319,650/x
  3. Step 3: Cross multiply
    147,594x = 319,650 × 319,650
  4. Step 4: Simplify right side
    147,594x = 102,176,122,500
  5. Step 5: Solve for x
    x = 102,176,122,500/147,594
  6. Step 6: Final answer
    x = 692,278.29

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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.