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Finding the Third Proportional to 254,686.50 and 373,005

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Solution

The third proportional to 254,686.50 and 373,005 is: 546,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,686.50 : 373,005 = 373,005 : x
  2. Step 2: Convert to fraction form
    254,686.50/373,005 = 373,005/x
  3. Step 3: Cross multiply
    254,686.50x = 373,005 × 373,005
  4. Step 4: Simplify right side
    254,686.50x = 139,132,730,025
  5. Step 5: Solve for x
    x = 139,132,730,025/254,686.50
  6. Step 6: Final answer
    x = 546,290.16

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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.