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Finding the Third Proportional to 190,303.50 and 409,312.50

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Solution

The third proportional to 190,303.50 and 409,312.50 is: 880,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,303.50 : 409,312.50 = 409,312.50 : x
  2. Step 2: Convert to fraction form
    190,303.50/409,312.50 = 409,312.50/x
  3. Step 3: Cross multiply
    190,303.50x = 409,312.50 × 409,312.50
  4. Step 4: Simplify right side
    190,303.50x = 167,536,722,656.25
  5. Step 5: Solve for x
    x = 167,536,722,656.25/190,303.50
  6. Step 6: Final answer
    x = 880,365.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.