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Finding the Third Proportional to 238,153.50 and 514,701

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Solution

The third proportional to 238,153.50 and 514,701 is: 1,112,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,153.50 : 514,701 = 514,701 : x
  2. Step 2: Convert to fraction form
    238,153.50/514,701 = 514,701/x
  3. Step 3: Cross multiply
    238,153.50x = 514,701 × 514,701
  4. Step 4: Simplify right side
    238,153.50x = 264,917,119,401
  5. Step 5: Solve for x
    x = 264,917,119,401/238,153.50
  6. Step 6: Final answer
    x = 1,112,379.70

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Why These Related Problems?

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