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Finding the Third Proportional to 153,374.50 and 319,263.50

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Solution

The third proportional to 153,374.50 and 319,263.50 is: 664,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,374.50 : 319,263.50 = 319,263.50 : x
  2. Step 2: Convert to fraction form
    153,374.50/319,263.50 = 319,263.50/x
  3. Step 3: Cross multiply
    153,374.50x = 319,263.50 × 319,263.50
  4. Step 4: Simplify right side
    153,374.50x = 101,929,182,432.25
  5. Step 5: Solve for x
    x = 101,929,182,432.25/153,374.50
  6. Step 6: Final answer
    x = 664,577.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.