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Finding the Third Proportional to 175,185 and 385,362

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Solution

The third proportional to 175,185 and 385,362 is: 847,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,185 : 385,362 = 385,362 : x
  2. Step 2: Convert to fraction form
    175,185/385,362 = 385,362/x
  3. Step 3: Cross multiply
    175,185x = 385,362 × 385,362
  4. Step 4: Simplify right side
    175,185x = 148,503,871,044
  5. Step 5: Solve for x
    x = 148,503,871,044/175,185
  6. Step 6: Final answer
    x = 847,697.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.