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Finding the Third Proportional to 234,068 and 350,590

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Solution

The third proportional to 234,068 and 350,590 is: 525,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,068 : 350,590 = 350,590 : x
  2. Step 2: Convert to fraction form
    234,068/350,590 = 350,590/x
  3. Step 3: Cross multiply
    234,068x = 350,590 × 350,590
  4. Step 4: Simplify right side
    234,068x = 122,913,348,100
  5. Step 5: Solve for x
    x = 122,913,348,100/234,068
  6. Step 6: Final answer
    x = 525,118.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.