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Finding the Third Proportional to 162,056 and 245,319.75

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Solution

The third proportional to 162,056 and 245,319.75 is: 371,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,056 : 245,319.75 = 245,319.75 : x
  2. Step 2: Convert to fraction form
    162,056/245,319.75 = 245,319.75/x
  3. Step 3: Cross multiply
    162,056x = 245,319.75 × 245,319.75
  4. Step 4: Simplify right side
    162,056x = 60,181,779,740.06
  5. Step 5: Solve for x
    x = 60,181,779,740.06/162,056
  6. Step 6: Final answer
    x = 371,364.09

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