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Finding the Third Proportional to 180,270 and 417,312

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Solution

The third proportional to 180,270 and 417,312 is: 966,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,270 : 417,312 = 417,312 : x
  2. Step 2: Convert to fraction form
    180,270/417,312 = 417,312/x
  3. Step 3: Cross multiply
    180,270x = 417,312 × 417,312
  4. Step 4: Simplify right side
    180,270x = 174,149,305,344
  5. Step 5: Solve for x
    x = 174,149,305,344/180,270
  6. Step 6: Final answer
    x = 966,047.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.