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Finding the Third Proportional to 210,586.50 and 450,117

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Solution

The third proportional to 210,586.50 and 450,117 is: 962,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,586.50 : 450,117 = 450,117 : x
  2. Step 2: Convert to fraction form
    210,586.50/450,117 = 450,117/x
  3. Step 3: Cross multiply
    210,586.50x = 450,117 × 450,117
  4. Step 4: Simplify right side
    210,586.50x = 202,605,313,689
  5. Step 5: Solve for x
    x = 202,605,313,689/210,586.50
  6. Step 6: Final answer
    x = 962,100.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.