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Finding the Third Proportional to 160,476 and 248,353.50

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Solution

The third proportional to 160,476 and 248,353.50 is: 384,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,476 : 248,353.50 = 248,353.50 : x
  2. Step 2: Convert to fraction form
    160,476/248,353.50 = 248,353.50/x
  3. Step 3: Cross multiply
    160,476x = 248,353.50 × 248,353.50
  4. Step 4: Simplify right side
    160,476x = 61,679,460,962.25
  5. Step 5: Solve for x
    x = 61,679,460,962.25/160,476
  6. Step 6: Final answer
    x = 384,353.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.