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Finding the Third Proportional to 122,312 and 188,364

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Solution

The third proportional to 122,312 and 188,364 is: 290,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,312 : 188,364 = 188,364 : x
  2. Step 2: Convert to fraction form
    122,312/188,364 = 188,364/x
  3. Step 3: Cross multiply
    122,312x = 188,364 × 188,364
  4. Step 4: Simplify right side
    122,312x = 35,480,996,496
  5. Step 5: Solve for x
    x = 35,480,996,496/122,312
  6. Step 6: Final answer
    x = 290,085.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.