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Finding the Third Proportional to 164,913 and 361,386

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Solution

The third proportional to 164,913 and 361,386 is: 791,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,913 : 361,386 = 361,386 : x
  2. Step 2: Convert to fraction form
    164,913/361,386 = 361,386/x
  3. Step 3: Cross multiply
    164,913x = 361,386 × 361,386
  4. Step 4: Simplify right side
    164,913x = 130,599,840,996
  5. Step 5: Solve for x
    x = 130,599,840,996/164,913
  6. Step 6: Final answer
    x = 791,931.75

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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.