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Finding the Third Proportional to 146,402 and 319,574

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Solution

The third proportional to 146,402 and 319,574 is: 697,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,402 : 319,574 = 319,574 : x
  2. Step 2: Convert to fraction form
    146,402/319,574 = 319,574/x
  3. Step 3: Cross multiply
    146,402x = 319,574 × 319,574
  4. Step 4: Simplify right side
    146,402x = 102,127,541,476
  5. Step 5: Solve for x
    x = 102,127,541,476/146,402
  6. Step 6: Final answer
    x = 697,582.97

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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.