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Finding the Third Proportional to 231,298.03 and 362,920.50

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Solution

The third proportional to 231,298.03 and 362,920.50 is: 569,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,298.03 : 362,920.50 = 362,920.50 : x
  2. Step 2: Convert to fraction form
    231,298.03/362,920.50 = 362,920.50/x
  3. Step 3: Cross multiply
    231,298.03x = 362,920.50 × 362,920.50
  4. Step 4: Simplify right side
    231,298.03x = 131,711,289,320.25
  5. Step 5: Solve for x
    x = 131,711,289,320.25/231,298.03
  6. Step 6: Final answer
    x = 569,444.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.