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Finding the Third Proportional to 174,600 and 377,046

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Solution

The third proportional to 174,600 and 377,046 is: 814,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,600 : 377,046 = 377,046 : x
  2. Step 2: Convert to fraction form
    174,600/377,046 = 377,046/x
  3. Step 3: Cross multiply
    174,600x = 377,046 × 377,046
  4. Step 4: Simplify right side
    174,600x = 142,163,686,116
  5. Step 5: Solve for x
    x = 142,163,686,116/174,600
  6. Step 6: Final answer
    x = 814,225.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.