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Finding the Third Proportional to 109,312 and 235,844

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Solution

The third proportional to 109,312 and 235,844 is: 508,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,312 : 235,844 = 235,844 : x
  2. Step 2: Convert to fraction form
    109,312/235,844 = 235,844/x
  3. Step 3: Cross multiply
    109,312x = 235,844 × 235,844
  4. Step 4: Simplify right side
    109,312x = 55,622,392,336
  5. Step 5: Solve for x
    x = 55,622,392,336/109,312
  6. Step 6: Final answer
    x = 508,840.68

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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.