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Finding the Third Proportional to 180,254 and 417,276

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Solution

The third proportional to 180,254 and 417,276 is: 965,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,254 : 417,276 = 417,276 : x
  2. Step 2: Convert to fraction form
    180,254/417,276 = 417,276/x
  3. Step 3: Cross multiply
    180,254x = 417,276 × 417,276
  4. Step 4: Simplify right side
    180,254x = 174,119,260,176
  5. Step 5: Solve for x
    x = 174,119,260,176/180,254
  6. Step 6: Final answer
    x = 965,966.14

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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.