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Finding the Third Proportional to 175,537 and 264,851.50

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Solution

The third proportional to 175,537 and 264,851.50 is: 399,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,537 : 264,851.50 = 264,851.50 : x
  2. Step 2: Convert to fraction form
    175,537/264,851.50 = 264,851.50/x
  3. Step 3: Cross multiply
    175,537x = 264,851.50 × 264,851.50
  4. Step 4: Simplify right side
    175,537x = 70,146,317,052.25
  5. Step 5: Solve for x
    x = 70,146,317,052.25/175,537
  6. Step 6: Final answer
    x = 399,609.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.