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Finding the Third Proportional to 110,770 and 242,985

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Solution

The third proportional to 110,770 and 242,985 is: 533,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,770 : 242,985 = 242,985 : x
  2. Step 2: Convert to fraction form
    110,770/242,985 = 242,985/x
  3. Step 3: Cross multiply
    110,770x = 242,985 × 242,985
  4. Step 4: Simplify right side
    110,770x = 59,041,710,225
  5. Step 5: Solve for x
    x = 59,041,710,225/110,770
  6. Step 6: Final answer
    x = 533,011.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.