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Finding the Third Proportional to 160,599 and 349,807.50

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Solution

The third proportional to 160,599 and 349,807.50 is: 761,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,599 : 349,807.50 = 349,807.50 : x
  2. Step 2: Convert to fraction form
    160,599/349,807.50 = 349,807.50/x
  3. Step 3: Cross multiply
    160,599x = 349,807.50 × 349,807.50
  4. Step 4: Simplify right side
    160,599x = 122,365,287,056.25
  5. Step 5: Solve for x
    x = 122,365,287,056.25/160,599
  6. Step 6: Final answer
    x = 761,930.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.