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Finding the Third Proportional to 153,455 and 232,551.75

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Solution

The third proportional to 153,455 and 232,551.75 is: 352,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,455 : 232,551.75 = 232,551.75 : x
  2. Step 2: Convert to fraction form
    153,455/232,551.75 = 232,551.75/x
  3. Step 3: Cross multiply
    153,455x = 232,551.75 × 232,551.75
  4. Step 4: Simplify right side
    153,455x = 54,080,316,428.06
  5. Step 5: Solve for x
    x = 54,080,316,428.06/153,455
  6. Step 6: Final answer
    x = 352,418.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.