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Finding the Third Proportional to 232,223.52 and 358,902.93

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Solution

The third proportional to 232,223.52 and 358,902.93 is: 554,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,223.52 : 358,902.93 = 358,902.93 : x
  2. Step 2: Convert to fraction form
    232,223.52/358,902.93 = 358,902.93/x
  3. Step 3: Cross multiply
    232,223.52x = 358,902.93 × 358,902.93
  4. Step 4: Simplify right side
    232,223.52x = 128,811,314,340.23
  5. Step 5: Solve for x
    x = 128,811,314,340.23/232,223.52
  6. Step 6: Final answer
    x = 554,686.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.