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Finding the Third Proportional to 200,348.50 and 423,053

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Solution

The third proportional to 200,348.50 and 423,053 is: 893,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,348.50 : 423,053 = 423,053 : x
  2. Step 2: Convert to fraction form
    200,348.50/423,053 = 423,053/x
  3. Step 3: Cross multiply
    200,348.50x = 423,053 × 423,053
  4. Step 4: Simplify right side
    200,348.50x = 178,973,840,809
  5. Step 5: Solve for x
    x = 178,973,840,809/200,348.50
  6. Step 6: Final answer
    x = 893,312.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.