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Finding the Third Proportional to 153,564.75 and 232,495.88

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Solution

The third proportional to 153,564.75 and 232,495.88 is: 351,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,564.75 : 232,495.88 = 232,495.88 : x
  2. Step 2: Convert to fraction form
    153,564.75/232,495.88 = 232,495.88/x
  3. Step 3: Cross multiply
    153,564.75x = 232,495.88 × 232,495.88
  4. Step 4: Simplify right side
    153,564.75x = 54,054,331,892.02
  5. Step 5: Solve for x
    x = 54,054,331,892.02/153,564.75
  6. Step 6: Final answer
    x = 351,997.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.