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Finding the Third Proportional to 219,112.59 and 342,508.50

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Solution

The third proportional to 219,112.59 and 342,508.50 is: 535,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,112.59 : 342,508.50 = 342,508.50 : x
  2. Step 2: Convert to fraction form
    219,112.59/342,508.50 = 342,508.50/x
  3. Step 3: Cross multiply
    219,112.59x = 342,508.50 × 342,508.50
  4. Step 4: Simplify right side
    219,112.59x = 117,312,072,572.25
  5. Step 5: Solve for x
    x = 117,312,072,572.25/219,112.59
  6. Step 6: Final answer
    x = 535,396.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.