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Finding the Third Proportional to 164,480 and 341,888

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Solution

The third proportional to 164,480 and 341,888 is: 710,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,480 : 341,888 = 341,888 : x
  2. Step 2: Convert to fraction form
    164,480/341,888 = 341,888/x
  3. Step 3: Cross multiply
    164,480x = 341,888 × 341,888
  4. Step 4: Simplify right side
    164,480x = 116,887,404,544
  5. Step 5: Solve for x
    x = 116,887,404,544/164,480
  6. Step 6: Final answer
    x = 710,648.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.