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Finding the Third Proportional to 198,063 and 292,726.50

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Solution

The third proportional to 198,063 and 292,726.50 is: 432,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,063 : 292,726.50 = 292,726.50 : x
  2. Step 2: Convert to fraction form
    198,063/292,726.50 = 292,726.50/x
  3. Step 3: Cross multiply
    198,063x = 292,726.50 × 292,726.50
  4. Step 4: Simplify right side
    198,063x = 85,688,803,802.25
  5. Step 5: Solve for x
    x = 85,688,803,802.25/198,063
  6. Step 6: Final answer
    x = 432,634.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.