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Finding the Third Proportional to 153,860.63 and 232,914.38

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Solution

The third proportional to 153,860.63 and 232,914.38 is: 352,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,860.63 : 232,914.38 = 232,914.38 : x
  2. Step 2: Convert to fraction form
    153,860.63/232,914.38 = 232,914.38/x
  3. Step 3: Cross multiply
    153,860.63x = 232,914.38 × 232,914.38
  4. Step 4: Simplify right side
    153,860.63x = 54,249,106,081.64
  5. Step 5: Solve for x
    x = 54,249,106,081.64/153,860.63
  6. Step 6: Final answer
    x = 352,586.02

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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.