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Finding the Third Proportional to 198,681.50 and 432,830

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Solution

The third proportional to 198,681.50 and 432,830 is: 942,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,681.50 : 432,830 = 432,830 : x
  2. Step 2: Convert to fraction form
    198,681.50/432,830 = 432,830/x
  3. Step 3: Cross multiply
    198,681.50x = 432,830 × 432,830
  4. Step 4: Simplify right side
    198,681.50x = 187,341,808,900
  5. Step 5: Solve for x
    x = 187,341,808,900/198,681.50
  6. Step 6: Final answer
    x = 942,925.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.