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Finding the Third Proportional to 109,604 and 235,585

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Solution

The third proportional to 109,604 and 235,585 is: 506,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,604 : 235,585 = 235,585 : x
  2. Step 2: Convert to fraction form
    109,604/235,585 = 235,585/x
  3. Step 3: Cross multiply
    109,604x = 235,585 × 235,585
  4. Step 4: Simplify right side
    109,604x = 55,500,292,225
  5. Step 5: Solve for x
    x = 55,500,292,225/109,604
  6. Step 6: Final answer
    x = 506,371.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.