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Finding the Third Proportional to 145,808 and 228,432

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Solution

The third proportional to 145,808 and 228,432 is: 357,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,808 : 228,432 = 228,432 : x
  2. Step 2: Convert to fraction form
    145,808/228,432 = 228,432/x
  3. Step 3: Cross multiply
    145,808x = 228,432 × 228,432
  4. Step 4: Simplify right side
    145,808x = 52,181,178,624
  5. Step 5: Solve for x
    x = 52,181,178,624/145,808
  6. Step 6: Final answer
    x = 357,875.96

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Why These Related Problems?

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