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Finding the Third Proportional to 242,973.50 and 359,677.75

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Solution

The third proportional to 242,973.50 and 359,677.75 is: 532,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,973.50 : 359,677.75 = 359,677.75 : x
  2. Step 2: Convert to fraction form
    242,973.50/359,677.75 = 359,677.75/x
  3. Step 3: Cross multiply
    242,973.50x = 359,677.75 × 359,677.75
  4. Step 4: Simplify right side
    242,973.50x = 129,368,083,845.06
  5. Step 5: Solve for x
    x = 129,368,083,845.06/242,973.50
  6. Step 6: Final answer
    x = 532,437.01

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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.