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Finding the Third Proportional to 118,224 and 257,184

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Solution

The third proportional to 118,224 and 257,184 is: 559,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,224 : 257,184 = 257,184 : x
  2. Step 2: Convert to fraction form
    118,224/257,184 = 257,184/x
  3. Step 3: Cross multiply
    118,224x = 257,184 × 257,184
  4. Step 4: Simplify right side
    118,224x = 66,143,609,856
  5. Step 5: Solve for x
    x = 66,143,609,856/118,224
  6. Step 6: Final answer
    x = 559,477.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.