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Finding the Third Proportional to 130,784.50 and 202,009

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Solution

The third proportional to 130,784.50 and 202,009 is: 312,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,784.50 : 202,009 = 202,009 : x
  2. Step 2: Convert to fraction form
    130,784.50/202,009 = 202,009/x
  3. Step 3: Cross multiply
    130,784.50x = 202,009 × 202,009
  4. Step 4: Simplify right side
    130,784.50x = 40,807,636,081
  5. Step 5: Solve for x
    x = 40,807,636,081/130,784.50
  6. Step 6: Final answer
    x = 312,021.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.