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Finding the Third Proportional to 153,348.19 and 312,946.03

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Solution

The third proportional to 153,348.19 and 312,946.03 is: 638,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,348.19 : 312,946.03 = 312,946.03 : x
  2. Step 2: Convert to fraction form
    153,348.19/312,946.03 = 312,946.03/x
  3. Step 3: Cross multiply
    153,348.19x = 312,946.03 × 312,946.03
  4. Step 4: Simplify right side
    153,348.19x = 97,935,218,475.13
  5. Step 5: Solve for x
    x = 97,935,218,475.13/153,348.19
  6. Step 6: Final answer
    x = 638,646.08

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.