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Finding the Third Proportional to 156,730 and 236,553

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Solution

The third proportional to 156,730 and 236,553 is: 357,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,730 : 236,553 = 236,553 : x
  2. Step 2: Convert to fraction form
    156,730/236,553 = 236,553/x
  3. Step 3: Cross multiply
    156,730x = 236,553 × 236,553
  4. Step 4: Simplify right side
    156,730x = 55,957,321,809
  5. Step 5: Solve for x
    x = 55,957,321,809/156,730
  6. Step 6: Final answer
    x = 357,030.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.