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Finding the Third Proportional to 152,026 and 235,421

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Solution

The third proportional to 152,026 and 235,421 is: 364,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,026 : 235,421 = 235,421 : x
  2. Step 2: Convert to fraction form
    152,026/235,421 = 235,421/x
  3. Step 3: Cross multiply
    152,026x = 235,421 × 235,421
  4. Step 4: Simplify right side
    152,026x = 55,423,047,241
  5. Step 5: Solve for x
    x = 55,423,047,241/152,026
  6. Step 6: Final answer
    x = 364,562.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.