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Finding the Third Proportional to 152,643 and 330,710

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Solution

The third proportional to 152,643 and 330,710 is: 716,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,643 : 330,710 = 330,710 : x
  2. Step 2: Convert to fraction form
    152,643/330,710 = 330,710/x
  3. Step 3: Cross multiply
    152,643x = 330,710 × 330,710
  4. Step 4: Simplify right side
    152,643x = 109,369,104,100
  5. Step 5: Solve for x
    x = 109,369,104,100/152,643
  6. Step 6: Final answer
    x = 716,502.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.