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Finding the Third Proportional to 163,098 and 229,675.50

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Solution

The third proportional to 163,098 and 229,675.50 is: 323,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,098 : 229,675.50 = 229,675.50 : x
  2. Step 2: Convert to fraction form
    163,098/229,675.50 = 229,675.50/x
  3. Step 3: Cross multiply
    163,098x = 229,675.50 × 229,675.50
  4. Step 4: Simplify right side
    163,098x = 52,750,835,300.25
  5. Step 5: Solve for x
    x = 52,750,835,300.25/163,098
  6. Step 6: Final answer
    x = 323,430.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.