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Finding the Third Proportional to 213,740 and 333,548

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Solution

The third proportional to 213,740 and 333,548 is: 520,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,740 : 333,548 = 333,548 : x
  2. Step 2: Convert to fraction form
    213,740/333,548 = 333,548/x
  3. Step 3: Cross multiply
    213,740x = 333,548 × 333,548
  4. Step 4: Simplify right side
    213,740x = 111,254,268,304
  5. Step 5: Solve for x
    x = 111,254,268,304/213,740
  6. Step 6: Final answer
    x = 520,512.16

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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.