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Finding the Third Proportional to 153,700 and 230,550

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Solution

The third proportional to 153,700 and 230,550 is: 345,825

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,700 : 230,550 = 230,550 : x
  2. Step 2: Convert to fraction form
    153,700/230,550 = 230,550/x
  3. Step 3: Cross multiply
    153,700x = 230,550 × 230,550
  4. Step 4: Simplify right side
    153,700x = 53,153,302,500
  5. Step 5: Solve for x
    x = 53,153,302,500/153,700
  6. Step 6: Final answer
    x = 345,825

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.