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Finding the Third Proportional to 255,746.11 and 372,374.72

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Solution

The third proportional to 255,746.11 and 372,374.72 is: 542,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746.11 : 372,374.72 = 372,374.72 : x
  2. Step 2: Convert to fraction form
    255,746.11/372,374.72 = 372,374.72/x
  3. Step 3: Cross multiply
    255,746.11x = 372,374.72 × 372,374.72
  4. Step 4: Simplify right side
    255,746.11x = 138,662,931,164.14
  5. Step 5: Solve for x
    x = 138,662,931,164.14/255,746.11
  6. Step 6: Final answer
    x = 542,189.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.