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Finding the Third Proportional to 190,526.91 and 292,378.36

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Solution

The third proportional to 190,526.91 and 292,378.36 is: 448,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,526.91 : 292,378.36 = 292,378.36 : x
  2. Step 2: Convert to fraction form
    190,526.91/292,378.36 = 292,378.36/x
  3. Step 3: Cross multiply
    190,526.91x = 292,378.36 × 292,378.36
  4. Step 4: Simplify right side
    190,526.91x = 85,485,105,030.82
  5. Step 5: Solve for x
    x = 85,485,105,030.82/190,526.91
  6. Step 6: Final answer
    x = 448,677.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.