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Finding the Third Proportional to 238,741.50 and 514,842

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Solution

The third proportional to 238,741.50 and 514,842 is: 1,110,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,741.50 : 514,842 = 514,842 : x
  2. Step 2: Convert to fraction form
    238,741.50/514,842 = 514,842/x
  3. Step 3: Cross multiply
    238,741.50x = 514,842 × 514,842
  4. Step 4: Simplify right side
    238,741.50x = 265,062,284,964
  5. Step 5: Solve for x
    x = 265,062,284,964/238,741.50
  6. Step 6: Final answer
    x = 1,110,248.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.