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Finding the Third Proportional to 169,335 and 370,154

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Solution

The third proportional to 169,335 and 370,154 is: 809,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,335 : 370,154 = 370,154 : x
  2. Step 2: Convert to fraction form
    169,335/370,154 = 370,154/x
  3. Step 3: Cross multiply
    169,335x = 370,154 × 370,154
  4. Step 4: Simplify right side
    169,335x = 137,013,983,716
  5. Step 5: Solve for x
    x = 137,013,983,716/169,335
  6. Step 6: Final answer
    x = 809,129.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.