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Finding the Third Proportional to 145,995 and 314,479.50

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Solution

The third proportional to 145,995 and 314,479.50 is: 677,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,995 : 314,479.50 = 314,479.50 : x
  2. Step 2: Convert to fraction form
    145,995/314,479.50 = 314,479.50/x
  3. Step 3: Cross multiply
    145,995x = 314,479.50 × 314,479.50
  4. Step 4: Simplify right side
    145,995x = 98,897,355,920.25
  5. Step 5: Solve for x
    x = 98,897,355,920.25/145,995
  6. Step 6: Final answer
    x = 677,402.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.