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Finding the Third Proportional to 180,878.06 and 266,090.06

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Solution

The third proportional to 180,878.06 and 266,090.06 is: 391,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878.06 : 266,090.06 = 266,090.06 : x
  2. Step 2: Convert to fraction form
    180,878.06/266,090.06 = 266,090.06/x
  3. Step 3: Cross multiply
    180,878.06x = 266,090.06 × 266,090.06
  4. Step 4: Simplify right side
    180,878.06x = 70,803,921,361.25
  5. Step 5: Solve for x
    x = 70,803,921,361.25/180,878.06
  6. Step 6: Final answer
    x = 391,445.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.