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Finding the Third Proportional to 155,541 and 334,549.50

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Solution

The third proportional to 155,541 and 334,549.50 is: 719,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,541 : 334,549.50 = 334,549.50 : x
  2. Step 2: Convert to fraction form
    155,541/334,549.50 = 334,549.50/x
  3. Step 3: Cross multiply
    155,541x = 334,549.50 × 334,549.50
  4. Step 4: Simplify right side
    155,541x = 111,923,367,950.25
  5. Step 5: Solve for x
    x = 111,923,367,950.25/155,541
  6. Step 6: Final answer
    x = 719,574.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.