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Finding the Third Proportional to 103,338 and 235,312

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Solution

The third proportional to 103,338 and 235,312 is: 535,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,338 : 235,312 = 235,312 : x
  2. Step 2: Convert to fraction form
    103,338/235,312 = 235,312/x
  3. Step 3: Cross multiply
    103,338x = 235,312 × 235,312
  4. Step 4: Simplify right side
    103,338x = 55,371,737,344
  5. Step 5: Solve for x
    x = 55,371,737,344/103,338
  6. Step 6: Final answer
    x = 535,831.32

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.