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Finding the Third Proportional to 230,374.50 and 348,783

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Solution

The third proportional to 230,374.50 and 348,783 is: 528,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,374.50 : 348,783 = 348,783 : x
  2. Step 2: Convert to fraction form
    230,374.50/348,783 = 348,783/x
  3. Step 3: Cross multiply
    230,374.50x = 348,783 × 348,783
  4. Step 4: Simplify right side
    230,374.50x = 121,649,581,089
  5. Step 5: Solve for x
    x = 121,649,581,089/230,374.50
  6. Step 6: Final answer
    x = 528,051.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.