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Finding the Third Proportional to 194,130 and 425,655

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Solution

The third proportional to 194,130 and 425,655 is: 933,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,130 : 425,655 = 425,655 : x
  2. Step 2: Convert to fraction form
    194,130/425,655 = 425,655/x
  3. Step 3: Cross multiply
    194,130x = 425,655 × 425,655
  4. Step 4: Simplify right side
    194,130x = 181,182,179,025
  5. Step 5: Solve for x
    x = 181,182,179,025/194,130
  6. Step 6: Final answer
    x = 933,303.35

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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.