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Finding the Third Proportional to 179,025 and 390,006

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Solution

The third proportional to 179,025 and 390,006 is: 849,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,025 : 390,006 = 390,006 : x
  2. Step 2: Convert to fraction form
    179,025/390,006 = 390,006/x
  3. Step 3: Cross multiply
    179,025x = 390,006 × 390,006
  4. Step 4: Simplify right side
    179,025x = 152,104,680,036
  5. Step 5: Solve for x
    x = 152,104,680,036/179,025
  6. Step 6: Final answer
    x = 849,628.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.