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Finding the Third Proportional to 232,448.63 and 359,192.25

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Solution

The third proportional to 232,448.63 and 359,192.25 is: 555,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,448.63 : 359,192.25 = 359,192.25 : x
  2. Step 2: Convert to fraction form
    232,448.63/359,192.25 = 359,192.25/x
  3. Step 3: Cross multiply
    232,448.63x = 359,192.25 × 359,192.25
  4. Step 4: Simplify right side
    232,448.63x = 129,019,072,460.06
  5. Step 5: Solve for x
    x = 129,019,072,460.06/232,448.63
  6. Step 6: Final answer
    x = 555,043.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.