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Finding the Third Proportional to 182,490 and 390,202

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Solution

The third proportional to 182,490 and 390,202 is: 834,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,490 : 390,202 = 390,202 : x
  2. Step 2: Convert to fraction form
    182,490/390,202 = 390,202/x
  3. Step 3: Cross multiply
    182,490x = 390,202 × 390,202
  4. Step 4: Simplify right side
    182,490x = 152,257,600,804
  5. Step 5: Solve for x
    x = 152,257,600,804/182,490
  6. Step 6: Final answer
    x = 834,333.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.