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Finding the Third Proportional to 190,184.91 and 294,332.06

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Solution

The third proportional to 190,184.91 and 294,332.06 is: 455,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,184.91 : 294,332.06 = 294,332.06 : x
  2. Step 2: Convert to fraction form
    190,184.91/294,332.06 = 294,332.06/x
  3. Step 3: Cross multiply
    190,184.91x = 294,332.06 × 294,332.06
  4. Step 4: Simplify right side
    190,184.91x = 86,631,363,015.50
  5. Step 5: Solve for x
    x = 86,631,363,015.50/190,184.91
  6. Step 6: Final answer
    x = 455,511.24

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