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Finding the Third Proportional to 145,309.50 and 307,903.50

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Solution

The third proportional to 145,309.50 and 307,903.50 is: 652,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,309.50 : 307,903.50 = 307,903.50 : x
  2. Step 2: Convert to fraction form
    145,309.50/307,903.50 = 307,903.50/x
  3. Step 3: Cross multiply
    145,309.50x = 307,903.50 × 307,903.50
  4. Step 4: Simplify right side
    145,309.50x = 94,804,565,312.25
  5. Step 5: Solve for x
    x = 94,804,565,312.25/145,309.50
  6. Step 6: Final answer
    x = 652,431.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.