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Finding the Third Proportional to 237,135 and 346,816.50

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Solution

The third proportional to 237,135 and 346,816.50 is: 507,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,135 : 346,816.50 = 346,816.50 : x
  2. Step 2: Convert to fraction form
    237,135/346,816.50 = 346,816.50/x
  3. Step 3: Cross multiply
    237,135x = 346,816.50 × 346,816.50
  4. Step 4: Simplify right side
    237,135x = 120,281,684,672.25
  5. Step 5: Solve for x
    x = 120,281,684,672.25/237,135
  6. Step 6: Final answer
    x = 507,228.73

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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.