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Finding the Third Proportional to 190,404 and 292,896

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Solution

The third proportional to 190,404 and 292,896 is: 450,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,404 : 292,896 = 292,896 : x
  2. Step 2: Convert to fraction form
    190,404/292,896 = 292,896/x
  3. Step 3: Cross multiply
    190,404x = 292,896 × 292,896
  4. Step 4: Simplify right side
    190,404x = 85,788,066,816
  5. Step 5: Solve for x
    x = 85,788,066,816/190,404
  6. Step 6: Final answer
    x = 450,558.11

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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.