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Finding the Third Proportional to 254,698.50 and 373,023

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Solution

The third proportional to 254,698.50 and 373,023 is: 546,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,698.50 : 373,023 = 373,023 : x
  2. Step 2: Convert to fraction form
    254,698.50/373,023 = 373,023/x
  3. Step 3: Cross multiply
    254,698.50x = 373,023 × 373,023
  4. Step 4: Simplify right side
    254,698.50x = 139,146,158,529
  5. Step 5: Solve for x
    x = 139,146,158,529/254,698.50
  6. Step 6: Final answer
    x = 546,317.15

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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.