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Finding the Third Proportional to 180,397.88 and 389,702.63

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Solution

The third proportional to 180,397.88 and 389,702.63 is: 841,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,397.88 : 389,702.63 = 389,702.63 : x
  2. Step 2: Convert to fraction form
    180,397.88/389,702.63 = 389,702.63/x
  3. Step 3: Cross multiply
    180,397.88x = 389,702.63 × 389,702.63
  4. Step 4: Simplify right side
    180,397.88x = 151,868,135,931.89
  5. Step 5: Solve for x
    x = 151,868,135,931.89/180,397.88
  6. Step 6: Final answer
    x = 841,851.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.