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Finding the Third Proportional to 180,445 and 365,263

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Solution

The third proportional to 180,445 and 365,263 is: 739,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,445 : 365,263 = 365,263 : x
  2. Step 2: Convert to fraction form
    180,445/365,263 = 365,263/x
  3. Step 3: Cross multiply
    180,445x = 365,263 × 365,263
  4. Step 4: Simplify right side
    180,445x = 133,417,059,169
  5. Step 5: Solve for x
    x = 133,417,059,169/180,445
  6. Step 6: Final answer
    x = 739,377.98

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.