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Finding the Third Proportional to 190,151.13 and 294,036.06

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Solution

The third proportional to 190,151.13 and 294,036.06 is: 454,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,151.13 : 294,036.06 = 294,036.06 : x
  2. Step 2: Convert to fraction form
    190,151.13/294,036.06 = 294,036.06/x
  3. Step 3: Cross multiply
    190,151.13x = 294,036.06 × 294,036.06
  4. Step 4: Simplify right side
    190,151.13x = 86,457,206,050.50
  5. Step 5: Solve for x
    x = 86,457,206,050.50/190,151.13
  6. Step 6: Final answer
    x = 454,676.28

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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.