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Finding the Third Proportional to 147,955 and 228,837.50

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Solution

The third proportional to 147,955 and 228,837.50 is: 353,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,955 : 228,837.50 = 228,837.50 : x
  2. Step 2: Convert to fraction form
    147,955/228,837.50 = 228,837.50/x
  3. Step 3: Cross multiply
    147,955x = 228,837.50 × 228,837.50
  4. Step 4: Simplify right side
    147,955x = 52,366,601,406.25
  5. Step 5: Solve for x
    x = 52,366,601,406.25/147,955
  6. Step 6: Final answer
    x = 353,936.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.