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Finding the Third Proportional to 184,575 and 242,362.50

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Solution

The third proportional to 184,575 and 242,362.50 is: 318,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,575 : 242,362.50 = 242,362.50 : x
  2. Step 2: Convert to fraction form
    184,575/242,362.50 = 242,362.50/x
  3. Step 3: Cross multiply
    184,575x = 242,362.50 × 242,362.50
  4. Step 4: Simplify right side
    184,575x = 58,739,581,406.25
  5. Step 5: Solve for x
    x = 58,739,581,406.25/184,575
  6. Step 6: Final answer
    x = 318,242.35

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.