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Finding the Third Proportional to 164,070.56 and 358,508.53

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Solution

The third proportional to 164,070.56 and 358,508.53 is: 783,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,070.56 : 358,508.53 = 358,508.53 : x
  2. Step 2: Convert to fraction form
    164,070.56/358,508.53 = 358,508.53/x
  3. Step 3: Cross multiply
    164,070.56x = 358,508.53 × 358,508.53
  4. Step 4: Simplify right side
    164,070.56x = 128,528,366,979.03
  5. Step 5: Solve for x
    x = 128,528,366,979.03/164,070.56
  6. Step 6: Final answer
    x = 783,372.50

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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.