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Finding the Third Proportional to 109,924 and 237,224

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Solution

The third proportional to 109,924 and 237,224 is: 511,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,924 : 237,224 = 237,224 : x
  2. Step 2: Convert to fraction form
    109,924/237,224 = 237,224/x
  3. Step 3: Cross multiply
    109,924x = 237,224 × 237,224
  4. Step 4: Simplify right side
    109,924x = 56,275,226,176
  5. Step 5: Solve for x
    x = 56,275,226,176/109,924
  6. Step 6: Final answer
    x = 511,946.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.