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Finding the Third Proportional to 179,303 and 390,146

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Solution

The third proportional to 179,303 and 390,146 is: 848,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,303 : 390,146 = 390,146 : x
  2. Step 2: Convert to fraction form
    179,303/390,146 = 390,146/x
  3. Step 3: Cross multiply
    179,303x = 390,146 × 390,146
  4. Step 4: Simplify right side
    179,303x = 152,213,901,316
  5. Step 5: Solve for x
    x = 152,213,901,316/179,303
  6. Step 6: Final answer
    x = 848,919.99

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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.