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Finding the Third Proportional to 164,080 and 357,808

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Solution

The third proportional to 164,080 and 357,808 is: 780,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,080 : 357,808 = 357,808 : x
  2. Step 2: Convert to fraction form
    164,080/357,808 = 357,808/x
  3. Step 3: Cross multiply
    164,080x = 357,808 × 357,808
  4. Step 4: Simplify right side
    164,080x = 128,026,564,864
  5. Step 5: Solve for x
    x = 128,026,564,864/164,080
  6. Step 6: Final answer
    x = 780,269.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.