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Finding the Third Proportional to 153,465 and 232,566.75

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Solution

The third proportional to 153,465 and 232,566.75 is: 352,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,465 : 232,566.75 = 232,566.75 : x
  2. Step 2: Convert to fraction form
    153,465/232,566.75 = 232,566.75/x
  3. Step 3: Cross multiply
    153,465x = 232,566.75 × 232,566.75
  4. Step 4: Simplify right side
    153,465x = 54,087,293,205.56
  5. Step 5: Solve for x
    x = 54,087,293,205.56/153,465
  6. Step 6: Final answer
    x = 352,440.58

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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.