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Finding the Third Proportional to 144,673 and 316,929.50

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Solution

The third proportional to 144,673 and 316,929.50 is: 694,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,673 : 316,929.50 = 316,929.50 : x
  2. Step 2: Convert to fraction form
    144,673/316,929.50 = 316,929.50/x
  3. Step 3: Cross multiply
    144,673x = 316,929.50 × 316,929.50
  4. Step 4: Simplify right side
    144,673x = 100,444,307,970.25
  5. Step 5: Solve for x
    x = 100,444,307,970.25/144,673
  6. Step 6: Final answer
    x = 694,285.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.