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Finding the Third Proportional to 241,290 and 530,167.50

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Solution

The third proportional to 241,290 and 530,167.50 is: 1,164,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,290 : 530,167.50 = 530,167.50 : x
  2. Step 2: Convert to fraction form
    241,290/530,167.50 = 530,167.50/x
  3. Step 3: Cross multiply
    241,290x = 530,167.50 × 530,167.50
  4. Step 4: Simplify right side
    241,290x = 281,077,578,056.25
  5. Step 5: Solve for x
    x = 281,077,578,056.25/241,290
  6. Step 6: Final answer
    x = 1,164,895.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.