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Finding the Third Proportional to 153,203 and 228,877.50

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Solution

The third proportional to 153,203 and 228,877.50 is: 341,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,203 : 228,877.50 = 228,877.50 : x
  2. Step 2: Convert to fraction form
    153,203/228,877.50 = 228,877.50/x
  3. Step 3: Cross multiply
    153,203x = 228,877.50 × 228,877.50
  4. Step 4: Simplify right side
    153,203x = 52,384,910,006.25
  5. Step 5: Solve for x
    x = 52,384,910,006.25/153,203
  6. Step 6: Final answer
    x = 341,931.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.