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Finding the Third Proportional to 113,886.50 and 249,223.75

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Solution

The third proportional to 113,886.50 and 249,223.75 is: 545,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886.50 : 249,223.75 = 249,223.75 : x
  2. Step 2: Convert to fraction form
    113,886.50/249,223.75 = 249,223.75/x
  3. Step 3: Cross multiply
    113,886.50x = 249,223.75 × 249,223.75
  4. Step 4: Simplify right side
    113,886.50x = 62,112,477,564.06
  5. Step 5: Solve for x
    x = 62,112,477,564.06/113,886.50
  6. Step 6: Final answer
    x = 545,389.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.