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Finding the Third Proportional to 210,000 and 466,224

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Solution

The third proportional to 210,000 and 466,224 is: 1,035,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,000 : 466,224 = 466,224 : x
  2. Step 2: Convert to fraction form
    210,000/466,224 = 466,224/x
  3. Step 3: Cross multiply
    210,000x = 466,224 × 466,224
  4. Step 4: Simplify right side
    210,000x = 217,364,818,176
  5. Step 5: Solve for x
    x = 217,364,818,176/210,000
  6. Step 6: Final answer
    x = 1,035,070.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.