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Finding the Third Proportional to 161,322 and 370,281

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Solution

The third proportional to 161,322 and 370,281 is: 849,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,322 : 370,281 = 370,281 : x
  2. Step 2: Convert to fraction form
    161,322/370,281 = 370,281/x
  3. Step 3: Cross multiply
    161,322x = 370,281 × 370,281
  4. Step 4: Simplify right side
    161,322x = 137,108,018,961
  5. Step 5: Solve for x
    x = 137,108,018,961/161,322
  6. Step 6: Final answer
    x = 849,902.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.