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Finding the Third Proportional to 109,326 and 235,428

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Solution

The third proportional to 109,326 and 235,428 is: 506,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,326 : 235,428 = 235,428 : x
  2. Step 2: Convert to fraction form
    109,326/235,428 = 235,428/x
  3. Step 3: Cross multiply
    109,326x = 235,428 × 235,428
  4. Step 4: Simplify right side
    109,326x = 55,426,343,184
  5. Step 5: Solve for x
    x = 55,426,343,184/109,326
  6. Step 6: Final answer
    x = 506,982.27

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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.