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Finding the Third Proportional to 145,303.50 and 313,543.50

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Solution

The third proportional to 145,303.50 and 313,543.50 is: 676,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,303.50 : 313,543.50 = 313,543.50 : x
  2. Step 2: Convert to fraction form
    145,303.50/313,543.50 = 313,543.50/x
  3. Step 3: Cross multiply
    145,303.50x = 313,543.50 × 313,543.50
  4. Step 4: Simplify right side
    145,303.50x = 98,309,526,392.25
  5. Step 5: Solve for x
    x = 98,309,526,392.25/145,303.50
  6. Step 6: Final answer
    x = 676,580.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.