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Finding the Third Proportional to 232,434.50 and 358,904

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Solution

The third proportional to 232,434.50 and 358,904 is: 554,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,434.50 : 358,904 = 358,904 : x
  2. Step 2: Convert to fraction form
    232,434.50/358,904 = 358,904/x
  3. Step 3: Cross multiply
    232,434.50x = 358,904 × 358,904
  4. Step 4: Simplify right side
    232,434.50x = 128,812,081,216
  5. Step 5: Solve for x
    x = 128,812,081,216/232,434.50
  6. Step 6: Final answer
    x = 554,186.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.