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Finding the Third Proportional to 145,417.78 and 307,600.03

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Solution

The third proportional to 145,417.78 and 307,600.03 is: 650,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,417.78 : 307,600.03 = 307,600.03 : x
  2. Step 2: Convert to fraction form
    145,417.78/307,600.03 = 307,600.03/x
  3. Step 3: Cross multiply
    145,417.78x = 307,600.03 × 307,600.03
  4. Step 4: Simplify right side
    145,417.78x = 94,617,779,225.00
  5. Step 5: Solve for x
    x = 94,617,779,225.00/145,417.78
  6. Step 6: Final answer
    x = 650,661.69

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Why These Related Problems?

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