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Finding the Third Proportional to 98,570 and 223,461

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Solution

The third proportional to 98,570 and 223,461 is: 506,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,570 : 223,461 = 223,461 : x
  2. Step 2: Convert to fraction form
    98,570/223,461 = 223,461/x
  3. Step 3: Cross multiply
    98,570x = 223,461 × 223,461
  4. Step 4: Simplify right side
    98,570x = 49,934,818,521
  5. Step 5: Solve for x
    x = 49,934,818,521/98,570
  6. Step 6: Final answer
    x = 506,592.46

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.