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Finding the Third Proportional to 213,737 and 333,545

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Solution

The third proportional to 213,737 and 333,545 is: 520,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,737 : 333,545 = 333,545 : x
  2. Step 2: Convert to fraction form
    213,737/333,545 = 333,545/x
  3. Step 3: Cross multiply
    213,737x = 333,545 × 333,545
  4. Step 4: Simplify right side
    213,737x = 111,252,267,025
  5. Step 5: Solve for x
    x = 111,252,267,025/213,737
  6. Step 6: Final answer
    x = 520,510.10

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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.