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Finding the Third Proportional to 213,731.50 and 333,537

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Solution

The third proportional to 213,731.50 and 333,537 is: 520,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,731.50 : 333,537 = 333,537 : x
  2. Step 2: Convert to fraction form
    213,731.50/333,537 = 333,537/x
  3. Step 3: Cross multiply
    213,731.50x = 333,537 × 333,537
  4. Step 4: Simplify right side
    213,731.50x = 111,246,930,369
  5. Step 5: Solve for x
    x = 111,246,930,369/213,731.50
  6. Step 6: Final answer
    x = 520,498.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.