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Finding the Third Proportional to 171,076.50 and 249,918

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Solution

The third proportional to 171,076.50 and 249,918 is: 365,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,076.50 : 249,918 = 249,918 : x
  2. Step 2: Convert to fraction form
    171,076.50/249,918 = 249,918/x
  3. Step 3: Cross multiply
    171,076.50x = 249,918 × 249,918
  4. Step 4: Simplify right side
    171,076.50x = 62,459,006,724
  5. Step 5: Solve for x
    x = 62,459,006,724/171,076.50
  6. Step 6: Final answer
    x = 365,094.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.