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Finding the Third Proportional to 155,253 and 243,028.50

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Solution

The third proportional to 155,253 and 243,028.50 is: 380,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,253 : 243,028.50 = 243,028.50 : x
  2. Step 2: Convert to fraction form
    155,253/243,028.50 = 243,028.50/x
  3. Step 3: Cross multiply
    155,253x = 243,028.50 × 243,028.50
  4. Step 4: Simplify right side
    155,253x = 59,062,851,812.25
  5. Step 5: Solve for x
    x = 59,062,851,812.25/155,253
  6. Step 6: Final answer
    x = 380,429.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.