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Finding the Third Proportional to 219,070.50 and 460,251

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Solution

The third proportional to 219,070.50 and 460,251 is: 966,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,070.50 : 460,251 = 460,251 : x
  2. Step 2: Convert to fraction form
    219,070.50/460,251 = 460,251/x
  3. Step 3: Cross multiply
    219,070.50x = 460,251 × 460,251
  4. Step 4: Simplify right side
    219,070.50x = 211,830,983,001
  5. Step 5: Solve for x
    x = 211,830,983,001/219,070.50
  6. Step 6: Final answer
    x = 966,953.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.