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Finding the Third Proportional to 173,869.50 and 402,537

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Solution

The third proportional to 173,869.50 and 402,537 is: 931,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,869.50 : 402,537 = 402,537 : x
  2. Step 2: Convert to fraction form
    173,869.50/402,537 = 402,537/x
  3. Step 3: Cross multiply
    173,869.50x = 402,537 × 402,537
  4. Step 4: Simplify right side
    173,869.50x = 162,036,036,369
  5. Step 5: Solve for x
    x = 162,036,036,369/173,869.50
  6. Step 6: Final answer
    x = 931,940.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.