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Finding the Third Proportional to 185,429 and 265,506

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Solution

The third proportional to 185,429 and 265,506 is: 380,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,429 : 265,506 = 265,506 : x
  2. Step 2: Convert to fraction form
    185,429/265,506 = 265,506/x
  3. Step 3: Cross multiply
    185,429x = 265,506 × 265,506
  4. Step 4: Simplify right side
    185,429x = 70,493,436,036
  5. Step 5: Solve for x
    x = 70,493,436,036/185,429
  6. Step 6: Final answer
    x = 380,164.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.