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Finding the Third Proportional to 174,038 and 276,929

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Solution

The third proportional to 174,038 and 276,929 is: 440,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,038 : 276,929 = 276,929 : x
  2. Step 2: Convert to fraction form
    174,038/276,929 = 276,929/x
  3. Step 3: Cross multiply
    174,038x = 276,929 × 276,929
  4. Step 4: Simplify right side
    174,038x = 76,689,671,041
  5. Step 5: Solve for x
    x = 76,689,671,041/174,038
  6. Step 6: Final answer
    x = 440,649.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.