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Finding the Third Proportional to 162,056.25 and 245,319.75

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Solution

The third proportional to 162,056.25 and 245,319.75 is: 371,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,056.25 : 245,319.75 = 245,319.75 : x
  2. Step 2: Convert to fraction form
    162,056.25/245,319.75 = 245,319.75/x
  3. Step 3: Cross multiply
    162,056.25x = 245,319.75 × 245,319.75
  4. Step 4: Simplify right side
    162,056.25x = 60,181,779,740.06
  5. Step 5: Solve for x
    x = 60,181,779,740.06/162,056.25
  6. Step 6: Final answer
    x = 371,363.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.