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Finding the Third Proportional to 190,785.38 and 302,033.81

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Solution

The third proportional to 190,785.38 and 302,033.81 is: 478,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,785.38 : 302,033.81 = 302,033.81 : x
  2. Step 2: Convert to fraction form
    190,785.38/302,033.81 = 302,033.81/x
  3. Step 3: Cross multiply
    190,785.38x = 302,033.81 × 302,033.81
  4. Step 4: Simplify right side
    190,785.38x = 91,224,423,893.29
  5. Step 5: Solve for x
    x = 91,224,423,893.29/190,785.38
  6. Step 6: Final answer
    x = 478,152.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.