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Finding the Third Proportional to 152,537 and 230,777

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Solution

The third proportional to 152,537 and 230,777 is: 349,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,537 : 230,777 = 230,777 : x
  2. Step 2: Convert to fraction form
    152,537/230,777 = 230,777/x
  3. Step 3: Cross multiply
    152,537x = 230,777 × 230,777
  4. Step 4: Simplify right side
    152,537x = 53,258,023,729
  5. Step 5: Solve for x
    x = 53,258,023,729/152,537
  6. Step 6: Final answer
    x = 349,148.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.