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Finding the Third Proportional to 157,562 and 229,574

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Solution

The third proportional to 157,562 and 229,574 is: 334,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,562 : 229,574 = 229,574 : x
  2. Step 2: Convert to fraction form
    157,562/229,574 = 229,574/x
  3. Step 3: Cross multiply
    157,562x = 229,574 × 229,574
  4. Step 4: Simplify right side
    157,562x = 52,704,221,476
  5. Step 5: Solve for x
    x = 52,704,221,476/157,562
  6. Step 6: Final answer
    x = 334,498.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.