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Finding the Third Proportional to 164,368 and 353,708

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Solution

The third proportional to 164,368 and 353,708 is: 761,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,368 : 353,708 = 353,708 : x
  2. Step 2: Convert to fraction form
    164,368/353,708 = 353,708/x
  3. Step 3: Cross multiply
    164,368x = 353,708 × 353,708
  4. Step 4: Simplify right side
    164,368x = 125,109,349,264
  5. Step 5: Solve for x
    x = 125,109,349,264/164,368
  6. Step 6: Final answer
    x = 761,153.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.