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Finding the Third Proportional to 230,595 and 294,646.50

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Solution

The third proportional to 230,595 and 294,646.50 is: 376,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,595 : 294,646.50 = 294,646.50 : x
  2. Step 2: Convert to fraction form
    230,595/294,646.50 = 294,646.50/x
  3. Step 3: Cross multiply
    230,595x = 294,646.50 × 294,646.50
  4. Step 4: Simplify right side
    230,595x = 86,816,559,962.25
  5. Step 5: Solve for x
    x = 86,816,559,962.25/230,595
  6. Step 6: Final answer
    x = 376,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.