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Finding the Third Proportional to 160,948 and 239,518.50

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Solution

The third proportional to 160,948 and 239,518.50 is: 356,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,948 : 239,518.50 = 239,518.50 : x
  2. Step 2: Convert to fraction form
    160,948/239,518.50 = 239,518.50/x
  3. Step 3: Cross multiply
    160,948x = 239,518.50 × 239,518.50
  4. Step 4: Simplify right side
    160,948x = 57,369,111,842.25
  5. Step 5: Solve for x
    x = 57,369,111,842.25/160,948
  6. Step 6: Final answer
    x = 356,445.01

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