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Finding the Third Proportional to 147,710 and 322,492

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Solution

The third proportional to 147,710 and 322,492 is: 704,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,710 : 322,492 = 322,492 : x
  2. Step 2: Convert to fraction form
    147,710/322,492 = 322,492/x
  3. Step 3: Cross multiply
    147,710x = 322,492 × 322,492
  4. Step 4: Simplify right side
    147,710x = 104,001,090,064
  5. Step 5: Solve for x
    x = 104,001,090,064/147,710
  6. Step 6: Final answer
    x = 704,089.70

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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.