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Finding the Third Proportional to 180,260 and 417,289

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Solution

The third proportional to 180,260 and 417,289 is: 965,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,260 : 417,289 = 417,289 : x
  2. Step 2: Convert to fraction form
    180,260/417,289 = 417,289/x
  3. Step 3: Cross multiply
    180,260x = 417,289 × 417,289
  4. Step 4: Simplify right side
    180,260x = 174,130,109,521
  5. Step 5: Solve for x
    x = 174,130,109,521/180,260
  6. Step 6: Final answer
    x = 965,994.17

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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.