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Finding the Third Proportional to 190,083.38 and 265,748.63

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Solution

The third proportional to 190,083.38 and 265,748.63 is: 371,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,083.38 : 265,748.63 = 265,748.63 : x
  2. Step 2: Convert to fraction form
    190,083.38/265,748.63 = 265,748.63/x
  3. Step 3: Cross multiply
    190,083.38x = 265,748.63 × 265,748.63
  4. Step 4: Simplify right side
    190,083.38x = 70,622,331,689.39
  5. Step 5: Solve for x
    x = 70,622,331,689.39/190,083.38
  6. Step 6: Final answer
    x = 371,533.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.