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Finding the Third Proportional to 235,371 and 348,484.50

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Solution

The third proportional to 235,371 and 348,484.50 is: 515,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,371 : 348,484.50 = 348,484.50 : x
  2. Step 2: Convert to fraction form
    235,371/348,484.50 = 348,484.50/x
  3. Step 3: Cross multiply
    235,371x = 348,484.50 × 348,484.50
  4. Step 4: Simplify right side
    235,371x = 121,441,446,740.25
  5. Step 5: Solve for x
    x = 121,441,446,740.25/235,371
  6. Step 6: Final answer
    x = 515,957.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.