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Finding the Third Proportional to 155,312 and 336,013

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Solution

The third proportional to 155,312 and 336,013 is: 726,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,312 : 336,013 = 336,013 : x
  2. Step 2: Convert to fraction form
    155,312/336,013 = 336,013/x
  3. Step 3: Cross multiply
    155,312x = 336,013 × 336,013
  4. Step 4: Simplify right side
    155,312x = 112,904,736,169
  5. Step 5: Solve for x
    x = 112,904,736,169/155,312
  6. Step 6: Final answer
    x = 726,954.36

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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.