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Finding the Third Proportional to 230,224 and 355,178

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Solution

The third proportional to 230,224 and 355,178 is: 547,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,224 : 355,178 = 355,178 : x
  2. Step 2: Convert to fraction form
    230,224/355,178 = 355,178/x
  3. Step 3: Cross multiply
    230,224x = 355,178 × 355,178
  4. Step 4: Simplify right side
    230,224x = 126,151,411,684
  5. Step 5: Solve for x
    x = 126,151,411,684/230,224
  6. Step 6: Final answer
    x = 547,950.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.