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Finding the Third Proportional to 214,654.50 and 470,133

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Solution

The third proportional to 214,654.50 and 470,133 is: 1,029,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,654.50 : 470,133 = 470,133 : x
  2. Step 2: Convert to fraction form
    214,654.50/470,133 = 470,133/x
  3. Step 3: Cross multiply
    214,654.50x = 470,133 × 470,133
  4. Step 4: Simplify right side
    214,654.50x = 221,025,037,689
  5. Step 5: Solve for x
    x = 221,025,037,689/214,654.50
  6. Step 6: Final answer
    x = 1,029,678.10

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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.