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Finding the Third Proportional to 162,339 and 372,823.50

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Solution

The third proportional to 162,339 and 372,823.50 is: 856,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,339 : 372,823.50 = 372,823.50 : x
  2. Step 2: Convert to fraction form
    162,339/372,823.50 = 372,823.50/x
  3. Step 3: Cross multiply
    162,339x = 372,823.50 × 372,823.50
  4. Step 4: Simplify right side
    162,339x = 138,997,362,152.25
  5. Step 5: Solve for x
    x = 138,997,362,152.25/162,339
  6. Step 6: Final answer
    x = 856,216.70

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.