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Finding the Third Proportional to 70,607.25 and 155,430

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Solution

The third proportional to 70,607.25 and 155,430 is: 342,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,607.25 : 155,430 = 155,430 : x
  2. Step 2: Convert to fraction form
    70,607.25/155,430 = 155,430/x
  3. Step 3: Cross multiply
    70,607.25x = 155,430 × 155,430
  4. Step 4: Simplify right side
    70,607.25x = 24,158,484,900
  5. Step 5: Solve for x
    x = 24,158,484,900/70,607.25
  6. Step 6: Final answer
    x = 342,153.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.