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Finding the Third Proportional to 191,295 and 242,548.50

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Solution

The third proportional to 191,295 and 242,548.50 is: 307,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,295 : 242,548.50 = 242,548.50 : x
  2. Step 2: Convert to fraction form
    191,295/242,548.50 = 242,548.50/x
  3. Step 3: Cross multiply
    191,295x = 242,548.50 × 242,548.50
  4. Step 4: Simplify right side
    191,295x = 58,829,774,852.25
  5. Step 5: Solve for x
    x = 58,829,774,852.25/191,295
  6. Step 6: Final answer
    x = 307,534.30

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.