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Finding the Third Proportional to 162,842.50 and 353,537

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Solution

The third proportional to 162,842.50 and 353,537 is: 767,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,842.50 : 353,537 = 353,537 : x
  2. Step 2: Convert to fraction form
    162,842.50/353,537 = 353,537/x
  3. Step 3: Cross multiply
    162,842.50x = 353,537 × 353,537
  4. Step 4: Simplify right side
    162,842.50x = 124,988,410,369
  5. Step 5: Solve for x
    x = 124,988,410,369/162,842.50
  6. Step 6: Final answer
    x = 767,541.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.