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Finding the Third Proportional to 216,708 and 346,054

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Solution

The third proportional to 216,708 and 346,054 is: 552,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,708 : 346,054 = 346,054 : x
  2. Step 2: Convert to fraction form
    216,708/346,054 = 346,054/x
  3. Step 3: Cross multiply
    216,708x = 346,054 × 346,054
  4. Step 4: Simplify right side
    216,708x = 119,753,370,916
  5. Step 5: Solve for x
    x = 119,753,370,916/216,708
  6. Step 6: Final answer
    x = 552,602.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.