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Finding the Third Proportional to 164,428 and 359,292

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Solution

The third proportional to 164,428 and 359,292 is: 785,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,428 : 359,292 = 359,292 : x
  2. Step 2: Convert to fraction form
    164,428/359,292 = 359,292/x
  3. Step 3: Cross multiply
    164,428x = 359,292 × 359,292
  4. Step 4: Simplify right side
    164,428x = 129,090,741,264
  5. Step 5: Solve for x
    x = 129,090,741,264/164,428
  6. Step 6: Final answer
    x = 785,089.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.