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Finding the Third Proportional to 157,143 and 243,271.50

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Solution

The third proportional to 157,143 and 243,271.50 is: 376,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,143 : 243,271.50 = 243,271.50 : x
  2. Step 2: Convert to fraction form
    157,143/243,271.50 = 243,271.50/x
  3. Step 3: Cross multiply
    157,143x = 243,271.50 × 243,271.50
  4. Step 4: Simplify right side
    157,143x = 59,181,022,712.25
  5. Step 5: Solve for x
    x = 59,181,022,712.25/157,143
  6. Step 6: Final answer
    x = 376,606.17

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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.