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Finding the Third Proportional to 178,983 and 242,212.50

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Solution

The third proportional to 178,983 and 242,212.50 is: 327,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,983 : 242,212.50 = 242,212.50 : x
  2. Step 2: Convert to fraction form
    178,983/242,212.50 = 242,212.50/x
  3. Step 3: Cross multiply
    178,983x = 242,212.50 × 242,212.50
  4. Step 4: Simplify right side
    178,983x = 58,666,895,156.25
  5. Step 5: Solve for x
    x = 58,666,895,156.25/178,983
  6. Step 6: Final answer
    x = 327,779.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.