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Finding the Third Proportional to 164,480 and 352,312

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Solution

The third proportional to 164,480 and 352,312 is: 754,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,480 : 352,312 = 352,312 : x
  2. Step 2: Convert to fraction form
    164,480/352,312 = 352,312/x
  3. Step 3: Cross multiply
    164,480x = 352,312 × 352,312
  4. Step 4: Simplify right side
    164,480x = 124,123,745,344
  5. Step 5: Solve for x
    x = 124,123,745,344/164,480
  6. Step 6: Final answer
    x = 754,643.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.