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Finding the Third Proportional to 197,532 and 425,952

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Solution

The third proportional to 197,532 and 425,952 is: 918,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,532 : 425,952 = 425,952 : x
  2. Step 2: Convert to fraction form
    197,532/425,952 = 425,952/x
  3. Step 3: Cross multiply
    197,532x = 425,952 × 425,952
  4. Step 4: Simplify right side
    197,532x = 181,435,106,304
  5. Step 5: Solve for x
    x = 181,435,106,304/197,532
  6. Step 6: Final answer
    x = 918,509.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.