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Finding the Third Proportional to 145,834 and 228,472.50

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Solution

The third proportional to 145,834 and 228,472.50 is: 357,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,834 : 228,472.50 = 228,472.50 : x
  2. Step 2: Convert to fraction form
    145,834/228,472.50 = 228,472.50/x
  3. Step 3: Cross multiply
    145,834x = 228,472.50 × 228,472.50
  4. Step 4: Simplify right side
    145,834x = 52,199,683,256.25
  5. Step 5: Solve for x
    x = 52,199,683,256.25/145,834
  6. Step 6: Final answer
    x = 357,939.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.