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Finding the Third Proportional to 235,102 and 358,158

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Solution

The third proportional to 235,102 and 358,158 is: 545,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102 : 358,158 = 358,158 : x
  2. Step 2: Convert to fraction form
    235,102/358,158 = 358,158/x
  3. Step 3: Cross multiply
    235,102x = 358,158 × 358,158
  4. Step 4: Simplify right side
    235,102x = 128,277,152,964
  5. Step 5: Solve for x
    x = 128,277,152,964/235,102
  6. Step 6: Final answer
    x = 545,623.40

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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.