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Finding the Third Proportional to 207,178 and 453,236

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Solution

The third proportional to 207,178 and 453,236 is: 991,528.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,178 : 453,236 = 453,236 : x
  2. Step 2: Convert to fraction form
    207,178/453,236 = 453,236/x
  3. Step 3: Cross multiply
    207,178x = 453,236 × 453,236
  4. Step 4: Simplify right side
    207,178x = 205,422,871,696
  5. Step 5: Solve for x
    x = 205,422,871,696/207,178
  6. Step 6: Final answer
    x = 991,528.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.