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Finding the Third Proportional to 145,862 and 322,342

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Solution

The third proportional to 145,862 and 322,342 is: 712,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862 : 322,342 = 322,342 : x
  2. Step 2: Convert to fraction form
    145,862/322,342 = 322,342/x
  3. Step 3: Cross multiply
    145,862x = 322,342 × 322,342
  4. Step 4: Simplify right side
    145,862x = 103,904,364,964
  5. Step 5: Solve for x
    x = 103,904,364,964/145,862
  6. Step 6: Final answer
    x = 712,347.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.