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Finding the Third Proportional to 190,890 and 302,215.50

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Solution

The third proportional to 190,890 and 302,215.50 is: 478,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,890 : 302,215.50 = 302,215.50 : x
  2. Step 2: Convert to fraction form
    190,890/302,215.50 = 302,215.50/x
  3. Step 3: Cross multiply
    190,890x = 302,215.50 × 302,215.50
  4. Step 4: Simplify right side
    190,890x = 91,334,208,440.25
  5. Step 5: Solve for x
    x = 91,334,208,440.25/190,890
  6. Step 6: Final answer
    x = 478,465.13

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