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Finding the Third Proportional to 190,080 and 294,288

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Solution

The third proportional to 190,080 and 294,288 is: 455,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 294,288 = 294,288 : x
  2. Step 2: Convert to fraction form
    190,080/294,288 = 294,288/x
  3. Step 3: Cross multiply
    190,080x = 294,288 × 294,288
  4. Step 4: Simplify right side
    190,080x = 86,605,426,944
  5. Step 5: Solve for x
    x = 86,605,426,944/190,080
  6. Step 6: Final answer
    x = 455,626.19

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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.