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Finding the Third Proportional to 154,740 and 245,934

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Solution

The third proportional to 154,740 and 245,934 is: 390,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,740 : 245,934 = 245,934 : x
  2. Step 2: Convert to fraction form
    154,740/245,934 = 245,934/x
  3. Step 3: Cross multiply
    154,740x = 245,934 × 245,934
  4. Step 4: Simplify right side
    154,740x = 60,483,532,356
  5. Step 5: Solve for x
    x = 60,483,532,356/154,740
  6. Step 6: Final answer
    x = 390,871.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.