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Finding the Third Proportional to 229,632 and 362,055.75

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Solution

The third proportional to 229,632 and 362,055.75 is: 570,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,632 : 362,055.75 = 362,055.75 : x
  2. Step 2: Convert to fraction form
    229,632/362,055.75 = 362,055.75/x
  3. Step 3: Cross multiply
    229,632x = 362,055.75 × 362,055.75
  4. Step 4: Simplify right side
    229,632x = 131,084,366,108.06
  5. Step 5: Solve for x
    x = 131,084,366,108.06/229,632
  6. Step 6: Final answer
    x = 570,845.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.