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Finding the Third Proportional to 145,225.50 and 316,288.50

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Solution

The third proportional to 145,225.50 and 316,288.50 is: 688,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,225.50 : 316,288.50 = 316,288.50 : x
  2. Step 2: Convert to fraction form
    145,225.50/316,288.50 = 316,288.50/x
  3. Step 3: Cross multiply
    145,225.50x = 316,288.50 × 316,288.50
  4. Step 4: Simplify right side
    145,225.50x = 100,038,415,232.25
  5. Step 5: Solve for x
    x = 100,038,415,232.25/145,225.50
  6. Step 6: Final answer
    x = 688,848.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.