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Finding the Third Proportional to 109,675.27 and 237,341.67

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Solution

The third proportional to 109,675.27 and 237,341.67 is: 513,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,675.27 : 237,341.67 = 237,341.67 : x
  2. Step 2: Convert to fraction form
    109,675.27/237,341.67 = 237,341.67/x
  3. Step 3: Cross multiply
    109,675.27x = 237,341.67 × 237,341.67
  4. Step 4: Simplify right side
    109,675.27x = 56,331,069,208.42
  5. Step 5: Solve for x
    x = 56,331,069,208.42/109,675.27
  6. Step 6: Final answer
    x = 513,616.89

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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.