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Finding the Third Proportional to 152,023 and 210,628

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Solution

The third proportional to 152,023 and 210,628 is: 291,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,023 : 210,628 = 210,628 : x
  2. Step 2: Convert to fraction form
    152,023/210,628 = 210,628/x
  3. Step 3: Cross multiply
    152,023x = 210,628 × 210,628
  4. Step 4: Simplify right side
    152,023x = 44,364,154,384
  5. Step 5: Solve for x
    x = 44,364,154,384/152,023
  6. Step 6: Final answer
    x = 291,825.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.