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Finding the Third Proportional to 113,211 and 264,397.50

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Solution

The third proportional to 113,211 and 264,397.50 is: 617,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,211 : 264,397.50 = 264,397.50 : x
  2. Step 2: Convert to fraction form
    113,211/264,397.50 = 264,397.50/x
  3. Step 3: Cross multiply
    113,211x = 264,397.50 × 264,397.50
  4. Step 4: Simplify right side
    113,211x = 69,906,038,006.25
  5. Step 5: Solve for x
    x = 69,906,038,006.25/113,211
  6. Step 6: Final answer
    x = 617,484.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.