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Finding the Third Proportional to 210,903.75 and 446,946.19

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Solution

The third proportional to 210,903.75 and 446,946.19 is: 947,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.75 : 446,946.19 = 446,946.19 : x
  2. Step 2: Convert to fraction form
    210,903.75/446,946.19 = 446,946.19/x
  3. Step 3: Cross multiply
    210,903.75x = 446,946.19 × 446,946.19
  4. Step 4: Simplify right side
    210,903.75x = 199,760,894,520.79
  5. Step 5: Solve for x
    x = 199,760,894,520.79/210,903.75
  6. Step 6: Final answer
    x = 947,166.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.