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Finding the Third Proportional to 233,298 and 348,486.75

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Solution

The third proportional to 233,298 and 348,486.75 is: 520,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298 : 348,486.75 = 348,486.75 : x
  2. Step 2: Convert to fraction form
    233,298/348,486.75 = 348,486.75/x
  3. Step 3: Cross multiply
    233,298x = 348,486.75 × 348,486.75
  4. Step 4: Simplify right side
    233,298x = 121,443,014,925.56
  5. Step 5: Solve for x
    x = 121,443,014,925.56/233,298
  6. Step 6: Final answer
    x = 520,548.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.