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Finding the Third Proportional to 187,060.50 and 409,114.50

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Solution

The third proportional to 187,060.50 and 409,114.50 is: 894,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,060.50 : 409,114.50 = 409,114.50 : x
  2. Step 2: Convert to fraction form
    187,060.50/409,114.50 = 409,114.50/x
  3. Step 3: Cross multiply
    187,060.50x = 409,114.50 × 409,114.50
  4. Step 4: Simplify right side
    187,060.50x = 167,374,674,110.25
  5. Step 5: Solve for x
    x = 167,374,674,110.25/187,060.50
  6. Step 6: Final answer
    x = 894,762.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.